Cremona's table of elliptic curves

101430 = 2 · 3² · 5 · 7² · 23

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 7- 23-	Signs for the Atkin-Lehner involutions
Class	101430ei	Isogeny class
Conductor	101430	Conductor
∏ cp	340	Product of Tamagawa factors cp
deg	4112640	Modular degree for the optimal curve
Δ	3.2952737749969E+20	Discriminant
Eigenvalues	2- 3- 5+ 7-  2  5  0 -5	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-3990083,-2939808189]	[a1,a2,a3,a4,a6]
Generators	[-1177:11766:1]	Generators of the group modulo torsion
j	196673474890182710329/9225032263925760	j-invariant
L	10.874932251434	L(r)(E,1)/r!
Ω	0.10713079419613	Real period
R	0.29856116597452	Regulator
r	1	Rank of the group of rational points
S	1.0000000009438	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	33810r1 101430es1	Quadratic twists by: -3 -7

Hecke Eigenvalues for elliptic curve 101430ei1

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	5	0	-5	-	-5	-5	4	4	-2	8	3	-3	7	-2	-14	-2	-2	0	1	7

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Quadratic twists for elliptic curve 101430ei1

-3	-7
33810r1	101430es1

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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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