Cremona's table of elliptic curves

Curve 31605b3

31605 = 3 · 5 · 72 · 43



Data for elliptic curve 31605b3

Field Data Notes
Atkin-Lehner 3+ 5+ 7- 43+ Signs for the Atkin-Lehner involutions
Class 31605b Isogeny class
Conductor 31605 Conductor
∏ cp 16 Product of Tamagawa factors cp
Δ -8.0006761669515E+24 Discriminant
Eigenvalues  1 3+ 5+ 7-  0 -2 -2  0 Hecke eigenvalues for primes up to 20
Equation [1,1,0,-85136888,-331610258223] [a1,a2,a3,a4,a6]
j -580081204948451795278201/68004625342769496045 j-invariant
L 0.88877561168393 L(r)(E,1)/r!
Ω 0.024688211435751 Real period
R 1 Regulator
r 0 Rank of the group of rational points
S 9 (Analytic) order of Ш
t 2 Number of elements in the torsion subgroup
Twists 94815bf3 4515h4 Quadratic twists by: -3 -7


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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