Atkin-Lehner |
2- 3- 37+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
40626n |
Isogeny class |
Conductor |
40626 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-15804115752312 = -1 · 23 · 315 · 37 · 612 |
Discriminant |
Eigenvalues |
2- 3- 2 1 -3 -5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-32234,-2227615] |
[a1,a2,a3,a4,a6] |
j |
-5080730480945497/21679171128 |
j-invariant |
L |
4.2745698235033 |
L(r)(E,1)/r! |
Ω |
0.17810707598303 |
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 |
13542d1 |
Quadratic twists by: -3 |