Atkin-Lehner |
2- 31- 37- |
Signs for the Atkin-Lehner involutions |
Class |
73408bj |
Isogeny class |
Conductor |
73408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23552 |
Modular degree for the optimal curve |
Δ |
2186897728 = 26 · 314 · 37 |
Discriminant |
Eigenvalues |
2- 1 0 -3 -1 2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-523,3847] |
[a1,a2,a3,a4,a6] |
Generators |
[6:31:1] [-570:9809:125] |
Generators of the group modulo torsion |
j |
247673152000/34170277 |
j-invariant |
L |
11.203097704213 |
L(r)(E,1)/r! |
Ω |
1.406863116904 |
Real period |
R |
1.9907938394352 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999723 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73408ba1 36704c1 |
Quadratic twists by: -4 8 |