Atkin-Lehner |
2- 3- 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
114576cj |
Isogeny class |
Conductor |
114576 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-2903814144 = -1 · 212 · 33 · 7 · 112 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11- -1 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,91,-2541] |
[a1,a2,a3,a4,a6] |
j |
20123648/708939 |
j-invariant |
L |
4.1262065974636 |
L(r)(E,1)/r! |
Ω |
0.68770117471822 |
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 |
7161a1 |
Quadratic twists by: -4 |