Atkin-Lehner |
7- 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
34447j |
Isogeny class |
Conductor |
34447 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
73472 |
Modular degree for the optimal curve |
Δ |
-539003128699 = -1 · 79 · 192 · 37 |
Discriminant |
Eigenvalues |
-2 2 3 7- -1 1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-114,-35288] |
[a1,a2,a3,a4,a6] |
Generators |
[425:8746:1] |
Generators of the group modulo torsion |
j |
-4096/13357 |
j-invariant |
L |
5.3350209883075 |
L(r)(E,1)/r! |
Ω |
0.41937415398627 |
Real period |
R |
3.1803467962891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
34447m1 |
Quadratic twists by: -7 |