Atkin-Lehner |
2- 7+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
62608q |
Isogeny class |
Conductor |
62608 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
145152 |
Modular degree for the optimal curve |
Δ |
-64110592 = -1 · 214 · 7 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 3 13- -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-130408,-18082704] |
[a1,a2,a3,a4,a6] |
Generators |
[36387868838582603985090:849490935452805980153961:48417437879416072936] |
Generators of the group modulo torsion |
j |
-59879725069515625/15652 |
j-invariant |
L |
9.3167055034871 |
L(r)(E,1)/r! |
Ω |
0.12561549754983 |
Real period |
R |
37.084220041366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7826f1 |
Quadratic twists by: -4 |