Atkin-Lehner |
2+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
13456a |
Isogeny class |
Conductor |
13456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-17663873340416 = -1 · 210 · 297 |
Discriminant |
Eigenvalues |
2+ 1 1 -2 3 -1 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-67560,6739556] |
[a1,a2,a3,a4,a6] |
Generators |
[4080:1682:27] |
Generators of the group modulo torsion |
j |
-55990084/29 |
j-invariant |
L |
5.5481758352957 |
L(r)(E,1)/r! |
Ω |
0.68212670468033 |
Real period |
R |
2.0334110207193 |
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 |
6728a1 53824x1 121104j1 464b1 |
Quadratic twists by: -4 8 -3 29 |