Atkin-Lehner |
2+ 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
32550bb |
Isogeny class |
Conductor |
32550 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
131040 |
Modular degree for the optimal curve |
Δ |
-37076484375000 = -1 · 23 · 37 · 510 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 2 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13451,-669202] |
[a1,a2,a3,a4,a6] |
j |
-27557573425/3796632 |
j-invariant |
L |
1.5398213246253 |
L(r)(E,1)/r! |
Ω |
0.21997447494654 |
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 |
97650ei1 32550ce1 |
Quadratic twists by: -3 5 |