Atkin-Lehner |
2- 31+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
73408z |
Isogeny class |
Conductor |
73408 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
582565888 = 214 · 312 · 37 |
Discriminant |
Eigenvalues |
2- -3 4 -1 -1 4 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12448,-534560] |
[a1,a2,a3,a4,a6] |
j |
13019746000896/35557 |
j-invariant |
L |
0.90397142489552 |
L(r)(E,1)/r! |
Ω |
0.45198573765805 |
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 |
73408p1 18352j1 |
Quadratic twists by: -4 8 |