Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13104bj |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
10063872 = 212 · 33 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,-198] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:6:1] |
Generators of the group modulo torsion |
j |
421875/91 |
j-invariant |
L |
4.9125941407251 |
L(r)(E,1)/r! |
Ω |
1.6471484223069 |
Real period |
R |
1.4912420988282 |
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 |
819b1 52416ek1 13104bk1 91728ct1 |
Quadratic twists by: -4 8 -3 -7 |