Atkin-Lehner |
2- 3+ 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
112530bl |
Isogeny class |
Conductor |
112530 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
3649536 |
Modular degree for the optimal curve |
Δ |
5389249788223488000 = 216 · 32 · 53 · 119 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11+ 0 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-853476,281827173] |
[a1,a2,a3,a4,a6] |
j |
29158388419139/2285568000 |
j-invariant |
L |
3.7754716725891 |
L(r)(E,1)/r! |
Ω |
0.23596703981529 |
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 |
112530b1 |
Quadratic twists by: -11 |