Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
36100f |
Isogeny class |
Conductor |
36100 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
7560 |
Modular degree for the optimal curve |
Δ |
90250000 = 24 · 56 · 192 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 -4 -1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-158,-563] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:7:1] |
Generators of the group modulo torsion |
j |
4864 |
j-invariant |
L |
3.2964403395363 |
L(r)(E,1)/r! |
Ω |
1.3653377049079 |
Real period |
R |
2.414377283867 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999987 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1444b1 36100a1 |
Quadratic twists by: 5 -19 |