Cremona's table of elliptic curves

90944 = 2⁶ · 7² · 29

Field	Data	Notes
Atkin-Lehner	2+ 7- 29-	Signs for the Atkin-Lehner involutions
Class	90944bj	Isogeny class
Conductor	90944	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	3367164843793580032 = 223 · 712 · 29	Discriminant
Eigenvalues	2+  0  0 7-  4  0  4  4	Hecke eigenvalues for primes up to 20
Equation	[0,0,0,-15498700,-23484858768]	[a1,a2,a3,a4,a6]
Generators	[100591887638857188:-1303903948174851968:21766715750961]	Generators of the group modulo torsion
j	13350003080765625/109178272	j-invariant
L	7.2299823764685	L(r)(E,1)/r!
Ω	0.07608971366445	Real period
R	23.754795594878	Regulator
r	1	Rank of the group of rational points
S	0.99999999952713	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	90944dk2 2842a2 12992f2	Quadratic twists by: -4 8 -7

Hecke Eigenvalues for elliptic curve 90944bj2

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	0	-	4	0	4	4	0	-	6	2	8	-4	-2	2	-10	-2	-8	16	0	-4	-6	0	-12

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Quadratic twists for elliptic curve 90944bj2

-4	8	-7
90944dk2	2842a2	12992f2

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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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