Atkin-Lehner |
2- 7- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
68432t |
Isogeny class |
Conductor |
68432 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
-17518592 = -1 · 212 · 7 · 13 · 47 |
Discriminant |
Eigenvalues |
2- -1 4 7- 4 13- 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-96,448] |
[a1,a2,a3,a4,a6] |
j |
-24137569/4277 |
j-invariant |
L |
4.207315390442 |
L(r)(E,1)/r! |
Ω |
2.1036576931999 |
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 |
4277a1 |
Quadratic twists by: -4 |