Atkin-Lehner |
2- 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
119548m |
Isogeny class |
Conductor |
119548 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21312 |
Modular degree for the optimal curve |
Δ |
9085648 = 24 · 112 · 13 · 192 |
Discriminant |
Eigenvalues |
2- -1 0 2 11- 13- -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-293,2026] |
[a1,a2,a3,a4,a6] |
Generators |
[2:38:1] |
Generators of the group modulo torsion |
j |
1441792000/4693 |
j-invariant |
L |
5.2608992811155 |
L(r)(E,1)/r! |
Ω |
2.3198896830476 |
Real period |
R |
1.1338684203718 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999627577 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119548d1 |
Quadratic twists by: -11 |