Atkin-Lehner |
2+ 3+ 13+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
59826f |
Isogeny class |
Conductor |
59826 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3725568 |
Modular degree for the optimal curve |
Δ |
2.3510578883558E+19 |
Discriminant |
Eigenvalues |
2+ 3+ -4 0 4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3973362,-3041210700] |
[a1,a2,a3,a4,a6] |
j |
1437269372537979889/4870832652288 |
j-invariant |
L |
0.96258926627201 |
L(r)(E,1)/r! |
Ω |
0.10695436290687 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
354e1 |
Quadratic twists by: 13 |