Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
67760m |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-4888941460480 = -1 · 210 · 5 · 72 · 117 |
Discriminant |
Eigenvalues |
2+ 2 5- 7+ 11- -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40,-106368] |
[a1,a2,a3,a4,a6] |
Generators |
[11670:104202:125] |
Generators of the group modulo torsion |
j |
-4/2695 |
j-invariant |
L |
8.9969006848286 |
L(r)(E,1)/r! |
Ω |
0.35217105136243 |
Real period |
R |
6.386740654529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000545 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33880u1 6160e1 |
Quadratic twists by: -4 -11 |