Atkin-Lehner |
2+ 3- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
34608f |
Isogeny class |
Conductor |
34608 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
77952 |
Modular degree for the optimal curve |
Δ |
-43674853329072 = -1 · 24 · 37 · 76 · 1032 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -2 2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11047,-552172] |
[a1,a2,a3,a4,a6] |
j |
-9319145753417728/2729678333067 |
j-invariant |
L |
4.8168015906921 |
L(r)(E,1)/r! |
Ω |
0.22937150431926 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17304a1 103824r1 |
Quadratic twists by: -4 -3 |