Atkin-Lehner |
2+ 3- 31- 53- |
Signs for the Atkin-Lehner involutions |
Class |
29574f |
Isogeny class |
Conductor |
29574 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23424 |
Modular degree for the optimal curve |
Δ |
14717915136 = 212 · 37 · 31 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1116,13392] |
[a1,a2,a3,a4,a6] |
j |
210963658177/20189184 |
j-invariant |
L |
1.2139712138453 |
L(r)(E,1)/r! |
Ω |
1.2139712138457 |
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 |
9858e1 |
Quadratic twists by: -3 |