Cremona's table of elliptic curves

9702 = 2 · 3² · 7² · 11

Field	Data	Notes
Atkin-Lehner	2+ 3- 7- 11+	Signs for the Atkin-Lehner involutions
Class	9702p	Isogeny class
Conductor	9702	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	73728	Modular degree for the optimal curve
Δ	-62021622197292912 = -1 · 24 · 38 · 79 · 114	Discriminant
Eigenvalues	2+ 3-  2 7- 11+  2 -2  0	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-42786,12467524]	[a1,a2,a3,a4,a6]
Generators	[275:4493:1]	Generators of the group modulo torsion
j	-100999381393/723148272	j-invariant
L	3.777111931508	L(r)(E,1)/r!
Ω	0.3009071314483	Real period
R	1.5690521828647	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	77616gh1 3234r1 1386b1 106722gv1	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 9702p1

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	0	0	2	-4	-2	-10	4	4	2	-12	2	12	-8	-6	-8	-8	-14	14

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Quadratic twists for elliptic curve 9702p1

-4	-3	-7	-11
77616gh1	3234r1	1386b1	106722gv1

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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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