Atkin-Lehner |
2- 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650do |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
-1702662897600000000 = -1 · 212 · 36 · 58 · 72 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-28355,62814147] |
[a1,a2,a3,a4,a6] |
Generators |
[-351:5600:1] [-295:6888:1] |
Generators of the group modulo torsion |
j |
-221335335649/149479321600 |
j-invariant |
L |
15.483641039702 |
L(r)(E,1)/r! |
Ω |
0.21488309330542 |
Real period |
R |
0.50038969253838 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000664 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10850i1 19530bh1 |
Quadratic twists by: -3 5 |