Atkin-Lehner |
2- 3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
89460h |
Isogeny class |
Conductor |
89460 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
907200 |
Modular degree for the optimal curve |
Δ |
-823175136000 = -1 · 28 · 36 · 53 · 7 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 3 -7 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1375608,-620997932] |
[a1,a2,a3,a4,a6] |
Generators |
[2095569911891795403435961725:94064447019716549836772946767:797346478036720941890625] |
Generators of the group modulo torsion |
j |
-1542553718571114496/4410875 |
j-invariant |
L |
5.9473092214527 |
L(r)(E,1)/r! |
Ω |
0.069702103677738 |
Real period |
R |
42.662336627239 |
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 |
9940e1 |
Quadratic twists by: -3 |