Atkin-Lehner |
2+ 3+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
59826a |
Isogeny class |
Conductor |
59826 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
-442971147808956 = -1 · 22 · 3 · 139 · 592 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 0 13+ 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,16559,600865] |
[a1,a2,a3,a4,a6] |
Generators |
[291:5347:1] |
Generators of the group modulo torsion |
j |
104021936927/91773084 |
j-invariant |
L |
1.9763932387139 |
L(r)(E,1)/r! |
Ω |
0.34411700693541 |
Real period |
R |
1.4358439126569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000578 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4602d1 |
Quadratic twists by: 13 |