Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
58800b |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
218880 |
Modular degree for the optimal curve |
Δ |
-1116235912906800 = -1 · 24 · 319 · 52 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -1 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-73663,7885942] |
[a1,a2,a3,a4,a6] |
Generators |
[138:574:1] |
Generators of the group modulo torsion |
j |
-46028377077760/1162261467 |
j-invariant |
L |
5.3549239964493 |
L(r)(E,1)/r! |
Ω |
0.48839975672163 |
Real period |
R |
3.6547411028549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998218 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29400dr1 58800dv1 58800co1 |
Quadratic twists by: -4 5 -7 |