Cremona's table of elliptic curves

9920 = 2⁶ · 5 · 31

Field	Data	Notes
Atkin-Lehner	2+ 5+ 31+	Signs for the Atkin-Lehner involutions
Class	9920b	Isogeny class
Conductor	9920	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	19681280 = 212 · 5 · 312	Discriminant
Eigenvalues	2+  0 5+ -2 -4  0  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-68,32]	[a1,a2,a3,a4,a6]
Generators	[-8:8:1]	Generators of the group modulo torsion
j	8489664/4805	j-invariant
L	3.3333117587498	L(r)(E,1)/r!
Ω	1.8650048202105	Real period
R	1.7872939107866	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	9920g2 4960f1 89280cf2 49600d2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9920b2

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	+	-2	-4	0	0	4	4	2	+	4	6	8	2	4	0	10	-10	8	4	-8	-8	-10	-18

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Quadratic twists for elliptic curve 9920b2

-4	8	-3	5
9920g2	4960f1	89280cf2	49600d2

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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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