Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
13248z |
Isogeny class |
Conductor |
13248 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
635904 = 210 · 33 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 4 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-96,-360] |
[a1,a2,a3,a4,a6] |
Generators |
[42:264:1] |
Generators of the group modulo torsion |
j |
3538944/23 |
j-invariant |
L |
3.9998445324373 |
L(r)(E,1)/r! |
Ω |
1.5258147160221 |
Real period |
R |
2.6214483911028 |
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 |
13248a1 3312k1 13248y1 |
Quadratic twists by: -4 8 -3 |