Atkin-Lehner |
2- 3- 13- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
69264ba |
Isogeny class |
Conductor |
69264 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
283138217017344 = 216 · 38 · 13 · 373 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 2 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1974891,-1068224870] |
[a1,a2,a3,a4,a6] |
j |
285276257074764073/94822416 |
j-invariant |
L |
0.50941740959292 |
L(r)(E,1)/r! |
Ω |
0.12735434914197 |
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 |
8658c1 23088u1 |
Quadratic twists by: -4 -3 |