Atkin-Lehner |
2- 43- 47- |
Signs for the Atkin-Lehner involutions |
Class |
129344bd |
Isogeny class |
Conductor |
129344 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
109056 |
Modular degree for the optimal curve |
Δ |
2069504 = 210 · 43 · 47 |
Discriminant |
Eigenvalues |
2- 0 1 2 -2 0 -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31352,-2136712] |
[a1,a2,a3,a4,a6] |
j |
3328277330110464/2021 |
j-invariant |
L |
0.71756742327185 |
L(r)(E,1)/r! |
Ω |
0.35878414429892 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129344b1 32336c1 |
Quadratic twists by: -4 8 |