Cremona's table of elliptic curves

9310 = 2 · 5 · 7² · 19

Field	Data	Notes
Atkin-Lehner	2- 5+ 7- 19+	Signs for the Atkin-Lehner involutions
Class	9310o	Isogeny class
Conductor	9310	Conductor
∏ cp	20	Product of Tamagawa factors cp
deg	3200	Modular degree for the optimal curve
Δ	-33367040 = -1 · 210 · 5 · 73 · 19	Discriminant
Eigenvalues	2- -1 5+ 7- -4  0  3 19+	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-141,643]	[a1,a2,a3,a4,a6]
Generators	[-1:28:1]	Generators of the group modulo torsion
j	-904231063/97280	j-invariant
L	4.7765280033969	L(r)(E,1)/r!
Ω	2.0190052250651	Real period
R	0.11828914418097	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	74480bq1 83790bx1 46550j1 9310u1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 9310o1

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
-	-1	+	-	-4	0	3	+	9	-8	6	1	-1	-5	10	-3	0	-14	14	-9	1	-16	14	14	-10

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Quadratic twists for elliptic curve 9310o1

-4	-3	5	-7
74480bq1	83790bx1	46550j1	9310u1

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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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