Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
104742cj |
Isogeny class |
Conductor |
104742 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1622016 |
Modular degree for the optimal curve |
Δ |
-5368046274378399744 = -1 · 216 · 37 · 11 · 237 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-330989,-133326507] |
[a1,a2,a3,a4,a6] |
Generators |
[8926:233583:8] |
Generators of the group modulo torsion |
j |
-37159393753/49741824 |
j-invariant |
L |
12.711621242487 |
L(r)(E,1)/r! |
Ω |
0.09482967324212 |
Real period |
R |
4.1889648093694 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999932654 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34914f1 4554z1 |
Quadratic twists by: -3 -23 |