Atkin-Lehner |
2+ 3- 47- |
Signs for the Atkin-Lehner involutions |
Class |
13536o |
Isogeny class |
Conductor |
13536 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
1497702480262189056 = 212 · 313 · 475 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 -1 -2 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-349896,53658992] |
[a1,a2,a3,a4,a6] |
Generators |
[-287:11421:1] |
Generators of the group modulo torsion |
j |
1586547827987968/501577530309 |
j-invariant |
L |
5.5862370082462 |
L(r)(E,1)/r! |
Ω |
0.24827626299289 |
Real period |
R |
0.56250212373365 |
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 |
13536ba1 27072bg1 4512i1 |
Quadratic twists by: -4 8 -3 |