Atkin-Lehner |
2+ 3+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
115434i |
Isogeny class |
Conductor |
115434 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-2019633264 = -1 · 24 · 39 · 112 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -1 11- -6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1095,-13843] |
[a1,a2,a3,a4,a6] |
Generators |
[106:973:1] |
Generators of the group modulo torsion |
j |
-60997563/848 |
j-invariant |
L |
4.1236155959764 |
L(r)(E,1)/r! |
Ω |
0.41460861990964 |
Real period |
R |
2.4864507174974 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999858294 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115434bc1 115434bj1 |
Quadratic twists by: -3 -11 |