Cremona's table of elliptic curves

43320 = 2³ · 3 · 5 · 19²

Field	Data	Notes
Atkin-Lehner	2+ 3+ 5- 19-	Signs for the Atkin-Lehner involutions
Class	43320j	Isogeny class
Conductor	43320	Conductor
∏ cp	88	Product of Tamagawa factors cp
deg	316800	Modular degree for the optimal curve
Δ	40612500000000 = 28 · 32 · 511 · 192	Discriminant
Eigenvalues	2+ 3+ 5- -2  3  4 -4 19-	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-388385,93291717]	[a1,a2,a3,a4,a6]
Generators	[239:-3750:1]	Generators of the group modulo torsion
j	70107585212548096/439453125	j-invariant
L	5.6581606061726	L(r)(E,1)/r!
Ω	0.57488982958772	Real period
R	0.11184278501112	Regulator
r	1	Rank of the group of rational points
S	0.99999999999905	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	86640be1 129960cl1 43320bc1	Quadratic twists by: -4 -3 -19

Hecke Eigenvalues for elliptic curve 43320j1

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
+	+	-	-2	3	4	-4	-	6	9	1	4	6	-8	-2	10	-9	-11	-2	-13	-4	-3	-8	13	-18

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Quadratic twists for elliptic curve 43320j1

-4	-3	-19
86640be1	129960cl1	43320bc1

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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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