Atkin-Lehner |
2+ 5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
62530a |
Isogeny class |
Conductor |
62530 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1548288 |
Modular degree for the optimal curve |
Δ |
703715080380416000 = 216 · 53 · 137 · 372 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7846955,8462440325] |
[a1,a2,a3,a4,a6] |
Generators |
[-2603:107349:1] |
Generators of the group modulo torsion |
j |
11070496924384049361/145793024000 |
j-invariant |
L |
3.0292257550884 |
L(r)(E,1)/r! |
Ω |
0.2605014390166 |
Real period |
R |
5.8142207711282 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993733 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4810h1 |
Quadratic twists by: 13 |