Atkin-Lehner |
5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
93925c |
Isogeny class |
Conductor |
93925 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4147200 |
Modular degree for the optimal curve |
Δ |
1.4966542087771E+20 |
Discriminant |
Eigenvalues |
2 -1 5+ -2 4 13+ 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1505208,398972193] |
[a1,a2,a3,a4,a6] |
Generators |
[395209638:11820850437:238328] |
Generators of the group modulo torsion |
j |
1600000000/634933 |
j-invariant |
L |
8.6611650598661 |
L(r)(E,1)/r! |
Ω |
0.16627585883562 |
Real period |
R |
13.022282846912 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002752 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93925w1 5525a1 |
Quadratic twists by: 5 17 |