Cremona's table of elliptic curves

Curve 37856o2

37856 = 25 · 7 · 132



Data for elliptic curve 37856o2

Field Data Notes
Atkin-Lehner 2- 7- 13+ Signs for the Atkin-Lehner involutions
Class 37856o Isogeny class
Conductor 37856 Conductor
∏ cp 64 Product of Tamagawa factors cp
Δ -617100039442432 = -1 · 212 · 74 · 137 Discriminant
Eigenvalues 2-  0  2 7-  4 13+  2 -4 Hecke eigenvalues for primes up to 20
Equation [0,0,0,676,-1195168] [a1,a2,a3,a4,a6]
Generators [142274:417620:1331] Generators of the group modulo torsion
j 1728/31213 j-invariant
L 6.9662368934245 L(r)(E,1)/r!
Ω 0.23720458699618 Real period
R 7.3420132612545 Regulator
r 1 Rank of the group of rational points
S 0.99999999999986 (Analytic) order of Ш
t 4 Number of elements in the torsion subgroup
Twists 37856a2 75712ba1 2912a4 Quadratic twists by: -4 8 13


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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