Atkin-Lehner |
2+ 3+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
38688a |
Isogeny class |
Conductor |
38688 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
-76262404608 = -1 · 29 · 37 · 133 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 0 1 -4 13- 1 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2288,-43416] |
[a1,a2,a3,a4,a6] |
j |
-2588282117000/148950009 |
j-invariant |
L |
1.031960907359 |
L(r)(E,1)/r! |
Ω |
0.34398696912828 |
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 |
38688e1 77376n1 116064o1 |
Quadratic twists by: -4 8 -3 |