Atkin-Lehner |
2+ 3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
91350bk |
Isogeny class |
Conductor |
91350 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-1997824500000 = -1 · 25 · 39 · 56 · 7 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -1 -1 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2142,78516] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:348:1] |
Generators of the group modulo torsion |
j |
-95443993/175392 |
j-invariant |
L |
4.7594293304634 |
L(r)(E,1)/r! |
Ω |
0.74009310388701 |
Real period |
R |
1.6077130396558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999910695 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
30450co1 3654v1 |
Quadratic twists by: -3 5 |