Atkin-Lehner |
2- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
54464v |
Isogeny class |
Conductor |
54464 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7040 |
Modular degree for the optimal curve |
Δ |
1252672 = 26 · 232 · 37 |
Discriminant |
Eigenvalues |
2- 1 0 3 1 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-113,-499] |
[a1,a2,a3,a4,a6] |
j |
2515456000/19573 |
j-invariant |
L |
2.9278167968898 |
L(r)(E,1)/r! |
Ω |
1.4639083986426 |
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 |
54464f1 13616h1 |
Quadratic twists by: -4 8 |