Atkin-Lehner |
2- 3- 11- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
120516f |
Isogeny class |
Conductor |
120516 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-310004098831152 = -1 · 24 · 32 · 1110 · 83 |
Discriminant |
Eigenvalues |
2- 3- 0 4 11- -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11293,961112] |
[a1,a2,a3,a4,a6] |
j |
-5619712000/10936827 |
j-invariant |
L |
3.8817483844782 |
L(r)(E,1)/r! |
Ω |
0.48521867017762 |
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 |
10956f1 |
Quadratic twists by: -11 |