Atkin-Lehner |
2- 3+ 17- 47- |
Signs for the Atkin-Lehner involutions |
Class |
115056m |
Isogeny class |
Conductor |
115056 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
238080 |
Modular degree for the optimal curve |
Δ |
1095082758144 = 212 · 39 · 172 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 1 5 -3 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9072,328752] |
[a1,a2,a3,a4,a6] |
j |
1024192512/13583 |
j-invariant |
L |
3.4971980442153 |
L(r)(E,1)/r! |
Ω |
0.87429954680404 |
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 |
7191b1 115056l1 |
Quadratic twists by: -4 -3 |