Cremona's table of elliptic curves

Curve 3718t1

3718 = 2 · 11 · 132



Data for elliptic curve 3718t1

Field Data Notes
Atkin-Lehner 2- 11- 13- Signs for the Atkin-Lehner involutions
Class 3718t Isogeny class
Conductor 3718 Conductor
∏ cp 40 Product of Tamagawa factors cp
deg 37440 Modular degree for the optimal curve
Δ -4968335210242976 = -1 · 25 · 114 · 139 Discriminant
Eigenvalues 2-  3  1  1 11- 13-  1 -2 Hecke eigenvalues for primes up to 20
Equation [1,-1,1,-37212,-4364993] [a1,a2,a3,a4,a6]
j -537367797/468512 j-invariant
L 6.6326865508528 L(r)(E,1)/r!
Ω 0.16581716377132 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 1 (Analytic) order of Ш
t 1 Number of elements in the torsion subgroup
Twists 29744y1 118976x1 33462ba1 92950w1 Quadratic twists by: -4 8 -3 5


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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