Cremona's table of elliptic curves

Curve 35616ba1

35616 = 25 · 3 · 7 · 53



Data for elliptic curve 35616ba1

Field Data Notes
Atkin-Lehner 2- 3- 7- 53+ Signs for the Atkin-Lehner involutions
Class 35616ba Isogeny class
Conductor 35616 Conductor
∏ cp 40 Product of Tamagawa factors cp
deg 199680 Modular degree for the optimal curve
Δ -830161857982464 = -1 · 212 · 34 · 75 · 533 Discriminant
Eigenvalues 2- 3-  3 7-  5  4  4  1 Hecke eigenvalues for primes up to 20
Equation [0,1,0,-54909,-5161077] [a1,a2,a3,a4,a6]
j -4469946001956352/202676234859 j-invariant
L 6.221126322374 L(r)(E,1)/r!
Ω 0.15552815805965 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 35616b1 71232w1 106848v1 Quadratic twists by: -4 8 -3


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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