Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416br |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-1456273728 = -1 · 26 · 36 · 74 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9,1836] |
[a1,a2,a3,a4,a6] |
Generators |
[4:44:1] [24:126:1] |
Generators of the group modulo torsion |
j |
1728/31213 |
j-invariant |
L |
8.2078267040702 |
L(r)(E,1)/r! |
Ω |
1.1947184331298 |
Real period |
R |
6.8700929662311 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
52416cn1 26208bl2 5824b1 |
Quadratic twists by: -4 8 -3 |