Atkin-Lehner |
2- 7- 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
128674bd |
Isogeny class |
Conductor |
128674 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
566784 |
Modular degree for the optimal curve |
Δ |
-2558384094994 = -1 · 2 · 78 · 133 · 101 |
Discriminant |
Eigenvalues |
2- -2 3 7- 4 13- -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-20189,-1108493] |
[a1,a2,a3,a4,a6] |
Generators |
[5054970:32498597:27000] |
Generators of the group modulo torsion |
j |
-7735372650433/21745906 |
j-invariant |
L |
10.502966054048 |
L(r)(E,1)/r! |
Ω |
0.20022468583188 |
Real period |
R |
8.7426498849218 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000009023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18382f1 |
Quadratic twists by: -7 |