Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
41382ch |
Isogeny class |
Conductor |
41382 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
576000 |
Modular degree for the optimal curve |
Δ |
-2149246033644847104 = -1 · 215 · 311 · 117 · 19 |
Discriminant |
Eigenvalues |
2- 3- -1 2 11- -4 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,81652,69939983] |
[a1,a2,a3,a4,a6] |
Generators |
[69:-8747:1] |
Generators of the group modulo torsion |
j |
46617130799/1664188416 |
j-invariant |
L |
8.7939020170956 |
L(r)(E,1)/r! |
Ω |
0.19681435749141 |
Real period |
R |
0.372343348032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13794p1 3762c1 |
Quadratic twists by: -3 -11 |