Cremona's table of elliptic curves

6230 = 2 · 5 · 7 · 89

Field	Data	Notes
Atkin-Lehner	2+ 5- 7+ 89-	Signs for the Atkin-Lehner involutions
Class	6230d	Isogeny class
Conductor	6230	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	3803664200 = 23 · 52 · 74 · 892	Discriminant
Eigenvalues	2+ -2 5- 7+  0 -4  2  6	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1158,14768]	[a1,a2,a3,a4,a6]
Generators	[34:105:1]	Generators of the group modulo torsion
j	171518180523481/3803664200	j-invariant
L	1.971977437298	L(r)(E,1)/r!
Ω	1.3957156840686	Real period
R	0.70643952052959	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	49840v2 56070t2 31150x2 43610f2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 6230d2

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	-4	2	6	-8	0	-4	-4	6	6	8	-2	10	0	-8	-8	6	0	-6	-	-10

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Quadratic twists for elliptic curve 6230d2

-4	-3	5	-7
49840v2	56070t2	31150x2	43610f2

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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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