Atkin-Lehner |
2- 5+ 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
80560j |
Isogeny class |
Conductor |
80560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
656640 |
Modular degree for the optimal curve |
Δ |
-151862688455065600 = -1 · 231 · 52 · 19 · 533 |
Discriminant |
Eigenvalues |
2- -2 5+ 1 0 3 -1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,85144,16155700] |
[a1,a2,a3,a4,a6] |
Generators |
[-108:2390:1] |
Generators of the group modulo torsion |
j |
16665594512227991/37075851673600 |
j-invariant |
L |
4.0439717755682 |
L(r)(E,1)/r! |
Ω |
0.22571929588517 |
Real period |
R |
4.4789832446098 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999964116 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10070b1 |
Quadratic twists by: -4 |