Atkin-Lehner |
3- 5+ 7+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
30975s |
Isogeny class |
Conductor |
30975 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
87552 |
Modular degree for the optimal curve |
Δ |
128062265625 = 34 · 57 · 73 · 59 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-52776,-4670927] |
[a1,a2,a3,a4,a6] |
Generators |
[7606:223143:8] |
Generators of the group modulo torsion |
j |
1040402219634289/8195985 |
j-invariant |
L |
6.978154849796 |
L(r)(E,1)/r! |
Ω |
0.3149862731225 |
Real period |
R |
5.5384594863615 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92925i1 6195b1 |
Quadratic twists by: -3 5 |