Atkin-Lehner |
2- 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
119548n |
Isogeny class |
Conductor |
119548 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-199961532305392 = -1 · 24 · 116 · 135 · 19 |
Discriminant |
Eigenvalues |
2- 2 4 -2 11- 13- 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,13754,273693] |
[a1,a2,a3,a4,a6] |
Generators |
[32349:1124695:27] |
Generators of the group modulo torsion |
j |
10150866176/7054567 |
j-invariant |
L |
13.776168787549 |
L(r)(E,1)/r! |
Ω |
0.35702115594721 |
Real period |
R |
3.8586421179283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000068419 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
988a1 |
Quadratic twists by: -11 |