Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304ea |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
6493524553152 = 26 · 36 · 77 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 6 13- -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-76848,-8224434] |
[a1,a2,a3,a4,a6] |
j |
6665900968000/862407 |
j-invariant |
L |
3.4409275479777 |
L(r)(E,1)/r! |
Ω |
0.28674398262581 |
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 |
122304bp1 61152bd2 17472g1 |
Quadratic twists by: -4 8 -7 |