Atkin-Lehner |
3- 5+ 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
58905x |
Isogeny class |
Conductor |
58905 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1597440 |
Modular degree for the optimal curve |
Δ |
3759351840144140625 = 311 · 58 · 74 · 113 · 17 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7+ 11- -6 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1122818,448622232] |
[a1,a2,a3,a4,a6] |
j |
214745424817085489881/5156861234765625 |
j-invariant |
L |
1.4893674928912 |
L(r)(E,1)/r! |
Ω |
0.24822791518334 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19635i1 |
Quadratic twists by: -3 |