Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416ed |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-234770006016 = -1 · 217 · 39 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -3 7+ -3 13- 1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25164,-1536624] |
[a1,a2,a3,a4,a6] |
Generators |
[258:3024:1] |
Generators of the group modulo torsion |
j |
-683064198/91 |
j-invariant |
L |
3.4913651989586 |
L(r)(E,1)/r! |
Ω |
0.18952703509844 |
Real period |
R |
2.3026828317245 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416bj1 13104e1 52416eb1 |
Quadratic twists by: -4 8 -3 |