Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304hp |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
401408 |
Modular degree for the optimal curve |
Δ |
-77354959159296 = -1 · 214 · 32 · 79 · 13 |
Discriminant |
Eigenvalues |
2- 3- -3 7- -2 13+ 2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34757,2518179] |
[a1,a2,a3,a4,a6] |
j |
-7023616/117 |
j-invariant |
L |
2.4494484121755 |
L(r)(E,1)/r! |
Ω |
0.61236201205021 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304bh1 30576m1 122304gi1 |
Quadratic twists by: -4 8 -7 |