Atkin-Lehner |
3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
9765d |
Isogeny class |
Conductor |
9765 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
25947606825 = 314 · 52 · 7 · 31 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1260,15691] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:191:1] |
Generators of the group modulo torsion |
j |
303599943361/35593425 |
j-invariant |
L |
4.6258258249283 |
L(r)(E,1)/r! |
Ω |
1.1509890746248 |
Real period |
R |
2.0095003188611 |
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 |
3255c1 48825bk1 68355w1 |
Quadratic twists by: -3 5 -7 |