Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
9576ba |
Isogeny class |
Conductor |
9576 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
243392823233908992 = 28 · 311 · 710 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-215535,-30330862] |
[a1,a2,a3,a4,a6] |
Generators |
[-359:882:1] |
Generators of the group modulo torsion |
j |
5933482010818000/1304188224633 |
j-invariant |
L |
4.3712416723153 |
L(r)(E,1)/r! |
Ω |
0.22504455614631 |
Real period |
R |
0.97119471520862 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19152m1 76608cb1 3192d1 67032ca1 |
Quadratic twists by: -4 8 -3 -7 |