Atkin-Lehner |
2+ 3+ 5+ 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99120g |
Isogeny class |
Conductor |
99120 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
1.0916005340368E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 3 -3 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11564161,15139306045] |
[a1,a2,a3,a4,a6] |
j |
668076464942257101374464/42640645860812685 |
j-invariant |
L |
2.5904156776813 |
L(r)(E,1)/r! |
Ω |
0.21586796674098 |
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 |
49560i1 |
Quadratic twists by: -4 |