Atkin-Lehner |
2+ 3- 19- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7866i |
Isogeny class |
Conductor |
7866 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
-1429667697852 = -1 · 22 · 316 · 192 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -2 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,99,-57551] |
[a1,a2,a3,a4,a6] |
Generators |
[188:2471:1] |
Generators of the group modulo torsion |
j |
146363183/1961135388 |
j-invariant |
L |
3.8452880456055 |
L(r)(E,1)/r! |
Ω |
0.39354503418605 |
Real period |
R |
2.4427242828502 |
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 |
62928bc1 2622d1 |
Quadratic twists by: -4 -3 |