Atkin-Lehner |
5- 7+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
59675p |
Isogeny class |
Conductor |
59675 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8476128 |
Modular degree for the optimal curve |
Δ |
7.5311075627862E+22 |
Discriminant |
Eigenvalues |
2 -2 5- 7+ 11- -3 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16926558,23320913019] |
[a1,a2,a3,a4,a6] |
j |
858123274976630395187200/120497721004579494653 |
j-invariant |
L |
0.62812950289519 |
L(r)(E,1)/r! |
Ω |
0.10468825131117 |
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 |
59675j1 |
Quadratic twists by: 5 |