Atkin-Lehner |
2- 3- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
71994bw |
Isogeny class |
Conductor |
71994 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
798720 |
Modular degree for the optimal curve |
Δ |
1585648373247198 = 2 · 34 · 1310 · 71 |
Discriminant |
Eigenvalues |
2- 3- 4 -1 -2 13+ -8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-29156,34098] |
[a1,a2,a3,a4,a6] |
j |
19882681/11502 |
j-invariant |
L |
6.4374205946595 |
L(r)(E,1)/r! |
Ω |
0.40233878699443 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71994q1 |
Quadratic twists by: 13 |