Atkin-Lehner |
3+ 5+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
58425a |
Isogeny class |
Conductor |
58425 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
566256012890625 = 33 · 58 · 19 · 414 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 0 0 6 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-20688,22656] |
[a1,a2,a3,a4,a6] |
Generators |
[4080:258447:1] |
Generators of the group modulo torsion |
j |
62670119202361/36240384825 |
j-invariant |
L |
2.9492630835979 |
L(r)(E,1)/r! |
Ω |
0.43886090651516 |
Real period |
R |
6.7202684035383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999862 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11685d1 |
Quadratic twists by: 5 |