Atkin-Lehner |
3- 13+ 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
83421h |
Isogeny class |
Conductor |
83421 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
125952 |
Modular degree for the optimal curve |
Δ |
-1985148431487 = -1 · 312 · 132 · 23 · 312 |
Discriminant |
Eigenvalues |
-1 3- 2 4 -2 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3091,-15564] |
[a1,a2,a3,a4,a6] |
j |
4481515613303/2723111703 |
j-invariant |
L |
1.9248278654277 |
L(r)(E,1)/r! |
Ω |
0.48120698806183 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27807a1 |
Quadratic twists by: -3 |