Cremona's table of elliptic curves

79350 = 2 · 3 · 5² · 23²

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 23-	Signs for the Atkin-Lehner involutions
Class	79350cl	Isogeny class
Conductor	79350	Conductor
∏ cp	32	Product of Tamagawa factors cp
deg	1216512	Modular degree for the optimal curve
Δ	-620529437715750000 = -1 · 24 · 36 · 56 · 237	Discriminant
Eigenvalues	2- 3+ 5+  2  0 -2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-469763,-129788719]	[a1,a2,a3,a4,a6]
Generators	[10033835:1710686636:343]	Generators of the group modulo torsion
j	-4956477625/268272	j-invariant
L	8.7693251840068	L(r)(E,1)/r!
Ω	0.090894047470499	Real period
R	12.059817757982	Regulator
r	1	Rank of the group of rational points
S	1.0000000002019	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3174d1 3450r1	Quadratic twists by: 5 -23

Hecke Eigenvalues for elliptic curve 79350cl1

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

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Quadratic twists for elliptic curve 79350cl1

5	-23
3174d1	3450r1

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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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