Atkin-Lehner |
2- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880dx |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
2027520 |
Modular degree for the optimal curve |
Δ |
-3552655272580874240 = -1 · 217 · 5 · 1111 · 19 |
Discriminant |
Eigenvalues |
2- 3 5- 2 11- -3 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-478252,-156299056] |
[a1,a2,a3,a4,a6] |
Generators |
[401790:48959504:27] |
Generators of the group modulo torsion |
j |
-92296274330873538/27104608708045 |
j-invariant |
L |
13.324453606697 |
L(r)(E,1)/r! |
Ω |
0.08941802205853 |
Real period |
R |
3.3866605867297 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000408 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
66880ba1 16720e1 |
Quadratic twists by: -4 8 |