Atkin-Lehner |
2- 3- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
13464q |
Isogeny class |
Conductor |
13464 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
16018497792 = 28 · 39 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- -4 -4 11+ 2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-687,-3310] |
[a1,a2,a3,a4,a6] |
Generators |
[-23:18:1] [-11:54:1] |
Generators of the group modulo torsion |
j |
192143824/85833 |
j-invariant |
L |
5.0911660984106 |
L(r)(E,1)/r! |
Ω |
0.97213527786343 |
Real period |
R |
0.65463704156499 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26928v1 107712cs1 4488b1 |
Quadratic twists by: -4 8 -3 |