Atkin-Lehner |
3+ 5+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
104025a |
Isogeny class |
Conductor |
104025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
250880 |
Modular degree for the optimal curve |
Δ |
3459936515625 = 37 · 56 · 19 · 732 |
Discriminant |
Eigenvalues |
1 3+ 5+ 4 2 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-22250,-1283625] |
[a1,a2,a3,a4,a6] |
Generators |
[-248157070931518:274425230664423:2831346754523] |
Generators of the group modulo torsion |
j |
77969406771361/221435937 |
j-invariant |
L |
8.9392965395356 |
L(r)(E,1)/r! |
Ω |
0.39096569074327 |
Real period |
R |
22.864657302368 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004147 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4161e1 |
Quadratic twists by: 5 |