Atkin-Lehner |
2+ 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880k |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
33792 |
Modular degree for the optimal curve |
Δ |
-34242560 = -1 · 215 · 5 · 11 · 19 |
Discriminant |
Eigenvalues |
2+ -3 5+ 2 11+ -3 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-268,-1712] |
[a1,a2,a3,a4,a6] |
j |
-64964808/1045 |
j-invariant |
L |
1.1788292616935 |
L(r)(E,1)/r! |
Ω |
0.5894146283837 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66880o1 33440bb1 |
Quadratic twists by: -4 8 |