Cremona's table of elliptic curves

37926 = 2 · 3² · 7² · 43

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 43+	Signs for the Atkin-Lehner involutions
Class	37926bh	Isogeny class
Conductor	37926	Conductor
∏ cp	12	Product of Tamagawa factors cp
deg	943488	Modular degree for the optimal curve
Δ	-2.4777362036591E+19	Discriminant
Eigenvalues	2- 3-  1 7+  3 -2  0 -2	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1835672,-986327247]	[a1,a2,a3,a4,a6]
Generators	[1509026192:915174484443:4096]	Generators of the group modulo torsion
j	-162778443933049/5895806454	j-invariant
L	9.9326962506256	L(r)(E,1)/r!
Ω	0.064713952320518	Real period
R	12.790513604432	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	12642a1 37926bq1	Quadratic twists by: -3 -7

Hecke Eigenvalues for elliptic curve 37926bh1

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	+	3	-2	0	-2	0	3	-5	10	-10	+	-12	5	-5	8	-8	-12	10	-5	-9	0	3

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Quadratic twists for elliptic curve 37926bh1

-3	-7
12642a1	37926bq1

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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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