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	18960u	Isogeny class
Conductor	18960	Conductor
∏ cp	104	Product of Tamagawa factors cp
deg	898560	Modular degree for the optimal curve
Δ	-3.4188523252264E+21	Discriminant
Eigenvalues	2- 3- 5+  4 -2 -2 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[0,1,0,931424,2792137460]	[a1,a2,a3,a4,a6]
j	21817529432070364511/834680743463485440	j-invariant
L	2.7716596966023	L(r)(E,1)/r!
Ω	0.10660229602316	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2370h1 75840bx1 56880bx1 94800bt1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 18960u1

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
-	-	+	4	-2	-2	-2	-4	4	4	-4	4	12	0	0	-6	-4	-6	-10	0	14	-	0	6	14

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Quadratic twists for elliptic curve 18960u1

-4	8	-3	5
2370h1	75840bx1	56880bx1	94800bt1

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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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