Atkin-Lehner |
2- 3+ 11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
97812b |
Isogeny class |
Conductor |
97812 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5690880 |
Modular degree for the optimal curve |
Δ |
167623585336803024 = 24 · 39 · 11 · 135 · 194 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 11+ 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36761256,-85789396755] |
[a1,a2,a3,a4,a6] |
Generators |
[-5026771012969803470828:-21892868339380359677:1436180738572350784] |
Generators of the group modulo torsion |
j |
17445501590765897908224/532260025583 |
j-invariant |
L |
3.6199416869059 |
L(r)(E,1)/r! |
Ω |
0.061312915830087 |
Real period |
R |
29.520221409808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999605954 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97812d1 |
Quadratic twists by: -3 |