Atkin-Lehner |
2- 3- 7- 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
32718s |
Isogeny class |
Conductor |
32718 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-48473156592 = -1 · 24 · 34 · 7 · 194 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 0 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,3,10593] |
[a1,a2,a3,a4,a6] |
j |
2924207/48473156592 |
j-invariant |
L |
7.1763863851555 |
L(r)(E,1)/r! |
Ω |
0.89704829814412 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98154bg1 |
Quadratic twists by: -3 |