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	9702i	Isogeny class
Conductor	9702	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	17932666707648 = 26 · 39 · 76 · 112	Discriminant
Eigenvalues	2+ 3+  0 7- 11- -2 -6 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-451887,117033965]	[a1,a2,a3,a4,a6]
Generators	[254:4185:1]	Generators of the group modulo torsion
j	4406910829875/7744	j-invariant
L	3.1158959912385	L(r)(E,1)/r!
Ω	0.5908026236833	Real period
R	1.318501249966	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	77616dc4 9702be2 198d4 106722eo4	Quadratic twists by: -4 -3 -7 -11

Hecke Eigenvalues for elliptic curve 9702i4

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

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Quadratic twists for elliptic curve 9702i4

-4	-3	-7	-11
77616dc4	9702be2	198d4	106722eo4

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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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