Atkin-Lehner |
2- 3+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
13536t |
Isogeny class |
Conductor |
13536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
5197824 = 212 · 33 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 1 -1 1 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72,-208] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:4:1] |
Generators of the group modulo torsion |
j |
373248/47 |
j-invariant |
L |
5.0914930217156 |
L(r)(E,1)/r! |
Ω |
1.6525165716217 |
Real period |
R |
0.77026353459183 |
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 |
13536a1 27072f1 13536b1 |
Quadratic twists by: -4 8 -3 |