Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11400bn |
Isogeny class |
Conductor |
11400 |
Conductor |
∏ cp |
66 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
33657930000 = 24 · 311 · 54 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -4 4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1908,30213] |
[a1,a2,a3,a4,a6] |
Generators |
[18:45:1] |
Generators of the group modulo torsion |
j |
76857529600/3365793 |
j-invariant |
L |
5.5725812690754 |
L(r)(E,1)/r! |
Ω |
1.1530270545155 |
Real period |
R |
0.073227292630115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22800j1 91200bn1 34200bn1 11400d1 |
Quadratic twists by: -4 8 -3 5 |