Atkin-Lehner |
2+ 3- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416ce |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
7311360 |
Modular degree for the optimal curve |
Δ |
-1.4237736828605E+23 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 1 13- -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-57878796,170452995568] |
[a1,a2,a3,a4,a6] |
Generators |
[4157:41067:1] |
Generators of the group modulo torsion |
j |
-112205650221491190337/745029571313664 |
j-invariant |
L |
7.6348778990497 |
L(r)(E,1)/r! |
Ω |
0.10386305474841 |
Real period |
R |
1.8377270718476 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416gp1 1638f1 17472bd1 |
Quadratic twists by: -4 8 -3 |