Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
71148h |
Isogeny class |
Conductor |
71148 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6048000 |
Modular degree for the optimal curve |
Δ |
-1.0231754137194E+23 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 11- -2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,10361916,8483223960] |
[a1,a2,a3,a4,a6] |
Generators |
[123971641984757:11047507777039966:20774195749] |
Generators of the group modulo torsion |
j |
47061251888/39135393 |
j-invariant |
L |
3.4131850794302 |
L(r)(E,1)/r! |
Ω |
0.068710979923686 |
Real period |
R |
24.83726096776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71148ci1 6468b1 |
Quadratic twists by: -7 -11 |