Atkin-Lehner |
2- 3- 7- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
59598y |
Isogeny class |
Conductor |
59598 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
88320 |
Modular degree for the optimal curve |
Δ |
-283882319028 = -1 · 22 · 311 · 7 · 113 · 43 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 11+ 1 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1354,16665] |
[a1,a2,a3,a4,a6] |
j |
376836398567/389413332 |
j-invariant |
L |
2.5778468560875 |
L(r)(E,1)/r! |
Ω |
0.64446171523649 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19866e1 |
Quadratic twists by: -3 |