Atkin-Lehner |
2+ 5- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
88400r |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
173568 |
Modular degree for the optimal curve |
Δ |
601120000 = 28 · 54 · 13 · 172 |
Discriminant |
Eigenvalues |
2+ 3 5- 2 2 13- 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21100,-1179700] |
[a1,a2,a3,a4,a6] |
Generators |
[-23642940364338:137949800363:282042293112] |
Generators of the group modulo torsion |
j |
6493085107200/3757 |
j-invariant |
L |
14.067654701516 |
L(r)(E,1)/r! |
Ω |
0.39612199344812 |
Real period |
R |
17.756720068812 |
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 |
44200k1 88400g1 |
Quadratic twists by: -4 5 |