Atkin-Lehner |
31- 67- |
Signs for the Atkin-Lehner involutions |
Class |
64387b |
Isogeny class |
Conductor |
64387 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
875520 |
Modular degree for the optimal curve |
Δ |
1771454684764957 = 319 · 67 |
Discriminant |
Eigenvalues |
2 -1 -4 4 4 1 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-125250,-16899123] |
[a1,a2,a3,a4,a6] |
Generators |
[-424997370:550758923:2000376] |
Generators of the group modulo torsion |
j |
244844425216/1995997 |
j-invariant |
L |
8.6794709058585 |
L(r)(E,1)/r! |
Ω |
0.25390330946031 |
Real period |
R |
8.5460395585767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999989092 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2077b1 |
Quadratic twists by: -31 |