Atkin-Lehner |
2+ 5+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880s |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
3096576 |
Modular degree for the optimal curve |
Δ |
-3.3364531109888E+19 |
Discriminant |
Eigenvalues |
2+ -3 5+ 3 11- -5 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-130828,-278503952] |
[a1,a2,a3,a4,a6] |
Generators |
[6174:484000:1] |
Generators of the group modulo torsion |
j |
-944682558225561/127275585593750 |
j-invariant |
L |
3.1296708688231 |
L(r)(E,1)/r! |
Ω |
0.092074691160638 |
Real period |
R |
0.53110259406478 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000456 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66880cd1 2090g1 |
Quadratic twists by: -4 8 |