Atkin-Lehner |
3+ 7- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
59241b |
Isogeny class |
Conductor |
59241 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
-900061015030298667 = -1 · 318 · 78 · 13 · 31 |
Discriminant |
Eigenvalues |
0 3+ 0 7- 3 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-71703,-46215583] |
[a1,a2,a3,a4,a6] |
j |
-346540109824000/7650392396283 |
j-invariant |
L |
0.48426644638363 |
L(r)(E,1)/r! |
Ω |
0.12106661127052 |
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 |
8463l1 |
Quadratic twists by: -7 |