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	38720bm	Isogeny class
Conductor	38720	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	-725631385600 = -1 · 214 · 52 · 116	Discriminant
Eigenvalues	2+  2 5- -2 11-  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,1775,-29775]	[a1,a2,a3,a4,a6]
Generators	[1372320:1096381:91125]	Generators of the group modulo torsion
j	21296/25	j-invariant
L	8.8360276231827	L(r)(E,1)/r!
Ω	0.48485364954656	Real period
R	9.1120564230506	Regulator
r	1	Rank of the group of rational points
S	1.0000000000003	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	38720dn2 2420e2 320c2	Quadratic twists by: -4 8 -11

Hecke Eigenvalues for elliptic curve 38720bm2

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	-	-2	-	2	6	-4	6	6	-4	-2	-6	-10	-6	6	-12	2	-2	-12	-2	-8	6	-6	2

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Quadratic twists for elliptic curve 38720bm2

-4	8	-11
38720dn2	2420e2	320c2

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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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