Cremona's table of elliptic curves

38720 = 2⁶ · 5 · 11²

Field	Data	Notes
Atkin-Lehner	2+ 5+ 11-	Signs for the Atkin-Lehner involutions
Class	38720g	Isogeny class
Conductor	38720	Conductor
∏ cp	32	Product of Tamagawa factors cp
Δ	6639980697856000000 = 214 · 56 · 1110	Discriminant
Eigenvalues	2+  0 5+ -4 11-  6  6  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-2442748,-1464249072]	[a1,a2,a3,a4,a6]
j	55537159171536/228765625	j-invariant
L	2.1742526570598	L(r)(E,1)/r!
Ω	0.12079181428129	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	9	(Analytic) order of Ш
t	4	Number of elements in the torsion subgroup
Twists	38720bt2 4840h2 3520f2	Quadratic twists by: -4 8 -11

Hecke Eigenvalues for elliptic curve 38720g2

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
+	0	+	-4	-	6	6	4	4	-2	8	10	-10	0	4	10	4	-2	8	0	14	16	-8	-6	2

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Quadratic twists for elliptic curve 38720g2

-4	8	-11
38720bt2	4840h2	3520f2

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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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