Atkin-Lehner |
2- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
111476g |
Isogeny class |
Conductor |
111476 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
3394800 |
Modular degree for the optimal curve |
Δ |
-6588827327744 = -1 · 28 · 29 · 316 |
Discriminant |
Eigenvalues |
2- 3 3 4 1 3 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4642591,3850248422] |
[a1,a2,a3,a4,a6] |
j |
-48707390098512/29 |
j-invariant |
L |
12.441275039337 |
L(r)(E,1)/r! |
Ω |
0.46078796760534 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116a1 |
Quadratic twists by: -31 |