Atkin-Lehner |
3+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
93795b |
Isogeny class |
Conductor |
93795 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
40642560 |
Modular degree for the optimal curve |
Δ |
1.00358218582E+27 |
Discriminant |
Eigenvalues |
1 3+ 5+ 0 -2 13+ 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-314814048,-1516441651317] |
[a1,a2,a3,a4,a6] |
Generators |
[-6908365222529525239018:-235517044313229712034241:1269682918718091688] |
Generators of the group modulo torsion |
j |
714868089922470312576721/207918354718409765625 |
j-invariant |
L |
4.6368349524959 |
L(r)(E,1)/r! |
Ω |
0.036639405665805 |
Real period |
R |
31.638306251536 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006858 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7215c1 |
Quadratic twists by: 13 |