Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304bp |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
8 |
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] |
Generators |
[51:2106:1] |
Generators of the group modulo torsion |
j |
6665900968000/862407 |
j-invariant |
L |
3.2397076523419 |
L(r)(E,1)/r! |
Ω |
0.72381883162375 |
Real period |
R |
2.2379271786281 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999412128 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304ea1 61152q2 17472t1 |
Quadratic twists by: -4 8 -7 |