Atkin-Lehner |
2- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
25652a |
Isogeny class |
Conductor |
25652 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
1502283728 = 24 · 116 · 53 |
Discriminant |
Eigenvalues |
2- 2 2 0 11- 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2097,37622] |
[a1,a2,a3,a4,a6] |
Generators |
[21070:263538:125] |
Generators of the group modulo torsion |
j |
35995648/53 |
j-invariant |
L |
8.9226592977127 |
L(r)(E,1)/r! |
Ω |
1.5077767382162 |
Real period |
R |
5.917758956985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102608t1 212b2 |
Quadratic twists by: -4 -11 |