Atkin-Lehner |
2- 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
115192u |
Isogeny class |
Conductor |
115192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-8850431744 = -1 · 28 · 75 · 112 · 17 |
Discriminant |
Eigenvalues |
2- -1 3 7+ 11- -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-84,-4508] |
[a1,a2,a3,a4,a6] |
Generators |
[24:82:1] |
Generators of the group modulo torsion |
j |
-2141392/285719 |
j-invariant |
L |
6.2484025804572 |
L(r)(E,1)/r! |
Ω |
0.57825729331613 |
Real period |
R |
2.701393776161 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999483414 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115192p1 |
Quadratic twists by: -11 |