Atkin-Lehner |
2+ 3- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
83904p |
Isogeny class |
Conductor |
83904 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
71139852288 = 218 · 33 · 19 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-361857,83662047] |
[a1,a2,a3,a4,a6] |
j |
19989223566735457/271377 |
j-invariant |
L |
4.6512626006323 |
L(r)(E,1)/r! |
Ω |
0.77521042631015 |
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 |
83904t1 1311a1 |
Quadratic twists by: -4 8 |