Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
52416gq |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-4245696 = -1 · 26 · 36 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 6 13- -4 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,36,54] |
[a1,a2,a3,a4,a6] |
Generators |
[15:63:1] |
Generators of the group modulo torsion |
j |
110592/91 |
j-invariant |
L |
5.827820723526 |
L(r)(E,1)/r! |
Ω |
1.591050115043 |
Real period |
R |
1.8314384532571 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000049 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416ch1 13104ce1 5824be1 |
Quadratic twists by: -4 8 -3 |