Atkin-Lehner |
2+ 3+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
45408b |
Isogeny class |
Conductor |
45408 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
37376 |
Modular degree for the optimal curve |
Δ |
3905088 = 26 · 3 · 11 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 11+ -4 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20338,-1109624] |
[a1,a2,a3,a4,a6] |
j |
14537503115416000/61017 |
j-invariant |
L |
1.5991187145229 |
L(r)(E,1)/r! |
Ω |
0.3997796786567 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45408i1 90816bh1 |
Quadratic twists by: -4 8 |