Atkin-Lehner |
2- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
115192bj |
Isogeny class |
Conductor |
115192 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-180621056 = -1 · 28 · 73 · 112 · 17 |
Discriminant |
Eigenvalues |
2- -1 1 7- 11- 0 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-260,1828] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-14:1] |
Generators of the group modulo torsion |
j |
-62992336/5831 |
j-invariant |
L |
5.5157781417387 |
L(r)(E,1)/r! |
Ω |
1.7599200991952 |
Real period |
R |
0.26117559360118 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000040907 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
115192b1 |
Quadratic twists by: -11 |