Atkin-Lehner |
2+ 3+ 5- 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
116130v |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
98081280 |
Modular degree for the optimal curve |
Δ |
-4.0166349009377E+24 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- 0 -5 0 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5585003267,-160653292268979] |
[a1,a2,a3,a4,a6] |
j |
-163759222102650878211152655529/34140833334220032000 |
j-invariant |
L |
0.47152776719842 |
L(r)(E,1)/r! |
Ω |
0.0087319993698798 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16590j1 |
Quadratic twists by: -7 |