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	9920o	Isogeny class
Conductor	9920	Conductor
∏ cp	36	Product of Tamagawa factors cp
Δ	116326882476032000 = 220 · 53 · 316	Discriminant
Eigenvalues	2+  2 5- -4  0  4  0  4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,-130945,8003457]	[a1,a2,a3,a4,a6]
Generators	[-216:5115:1]	Generators of the group modulo torsion
j	947226559343329/443751840500	j-invariant
L	6.0320269067052	L(r)(E,1)/r!
Ω	0.29682429355293	Real period
R	2.2579863791931	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	9920be4 310b4 89280bv4 49600ba4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 9920o4

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	-	-4	0	4	0	4	-6	-6	-	-8	-6	10	0	0	12	-14	-8	0	-4	8	-6	-18	-10

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Quadratic twists for elliptic curve 9920o4

-4	8	-3	5
9920be4	310b4	89280bv4	49600ba4

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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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