Atkin-Lehner |
2- 3- 5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
40920be |
Isogeny class |
Conductor |
40920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-17339082750000 = -1 · 24 · 38 · 56 · 11 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,149,200390] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:279:1] |
Generators of the group modulo torsion |
j |
22711433216/1083692671875 |
j-invariant |
L |
7.718731141845 |
L(r)(E,1)/r! |
Ω |
0.54746949704901 |
Real period |
R |
0.88118278546239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81840a1 122760v1 |
Quadratic twists by: -4 -3 |