Atkin-Lehner |
3- 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
59241s |
Isogeny class |
Conductor |
59241 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
1327104 |
Modular degree for the optimal curve |
Δ |
1828507119634377 = 32 · 79 · 132 · 313 |
Discriminant |
Eigenvalues |
1 3- -2 7- -2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10431832,-12969345679] |
[a1,a2,a3,a4,a6] |
j |
1067129596696048382953/15542054073 |
j-invariant |
L |
0.50403496258003 |
L(r)(E,1)/r! |
Ω |
0.084005827454932 |
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 |
8463d1 |
Quadratic twists by: -7 |