Atkin-Lehner |
2- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13520x |
Isogeny class |
Conductor |
13520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
1690000 = 24 · 54 · 132 |
Discriminant |
Eigenvalues |
2- 1 5- 5 -5 13+ -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-30,-25] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:5:1] |
Generators of the group modulo torsion |
j |
1141504/625 |
j-invariant |
L |
6.442694503631 |
L(r)(E,1)/r! |
Ω |
2.1733825622937 |
Real period |
R |
0.74109070986927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3380g1 54080ce1 121680ed1 67600bw1 |
Quadratic twists by: -4 8 -3 5 |