Atkin-Lehner |
5+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
129605j |
Isogeny class |
Conductor |
129605 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
29196378208025 = 52 · 73 · 237 |
Discriminant |
Eigenvalues |
-1 -2 5+ 7- 6 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7946,81451] |
[a1,a2,a3,a4,a6] |
Generators |
[113:737:1] |
Generators of the group modulo torsion |
j |
1092727/575 |
j-invariant |
L |
2.4541892707766 |
L(r)(E,1)/r! |
Ω |
0.58193204208986 |
Real period |
R |
1.0543281370019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998679132 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129605bb1 5635e1 |
Quadratic twists by: -7 -23 |