Cremona's table of elliptic curves

18960 = 2⁴ · 3 · 5 · 79

Field	Data	Notes
Atkin-Lehner	2- 3+ 5- 79+	Signs for the Atkin-Lehner involutions
Class	18960l	Isogeny class
Conductor	18960	Conductor
∏ cp	24	Product of Tamagawa factors cp
deg	8580096	Modular degree for the optimal curve
Δ	-1.3539211723358E+28	Discriminant
Eigenvalues	2- 3+ 5-  1 -3 -1  3 -2	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-307756360,5971627759600]	[a1,a2,a3,a4,a6]
Generators	[40170:7643750:1]	Generators of the group modulo torsion
j	-787018381229524347427258441/3305471612148000000000000	j-invariant
L	4.5181921676146	L(r)(E,1)/r!
Ω	0.034629962172339	Real period
R	5.4362752707341	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	2370e1 75840cb1 56880z1 94800cl1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18960l1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
-	+	-	1	-3	-1	3	-2	-3	-3	4	8	-6	-5	0	6	6	8	-14	6	11	+	3	0	-13

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Quadratic twists for elliptic curve 18960l1

-4	8	-3	5
2370e1	75840cb1	56880z1	94800cl1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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