Atkin-Lehner |
2+ 3- 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
37296j |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
190321488 = 24 · 38 · 72 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 4 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-174,583] |
[a1,a2,a3,a4,a6] |
j |
49948672/16317 |
j-invariant |
L |
3.308831831065 |
L(r)(E,1)/r! |
Ω |
1.6544159155421 |
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 |
18648k1 12432h1 |
Quadratic twists by: -4 -3 |