Atkin-Lehner |
2- 3- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
34692p |
Isogeny class |
Conductor |
34692 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-130996992 = -1 · 28 · 3 · 72 · 592 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 1 0 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22213,1266887] |
[a1,a2,a3,a4,a6] |
Generators |
[2307:-118:27] |
Generators of the group modulo torsion |
j |
-96633757696000/10443 |
j-invariant |
L |
7.6412038261835 |
L(r)(E,1)/r! |
Ω |
1.4282888723306 |
Real period |
R |
0.89165013863923 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104076i1 34692a1 |
Quadratic twists by: -3 -7 |