Atkin-Lehner |
2+ 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
66880n |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-130625000000 = -1 · 26 · 510 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ 0 5+ 4 11- 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-763,-19188] |
[a1,a2,a3,a4,a6] |
j |
-767568868416/2041015625 |
j-invariant |
L |
3.3758878273585 |
L(r)(E,1)/r! |
Ω |
0.42198597750744 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880d1 33440m2 |
Quadratic twists by: -4 8 |