Atkin-Lehner |
5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
13475h |
Isogeny class |
Conductor |
13475 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
6811923056640625 = 510 · 78 · 112 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11- -6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-786067,-268022784] |
[a1,a2,a3,a4,a6] |
Generators |
[3300561708796:57434600735602:2797260929] |
Generators of the group modulo torsion |
j |
29220958012401/3705625 |
j-invariant |
L |
5.065712876796 |
L(r)(E,1)/r! |
Ω |
0.16033854653215 |
Real period |
R |
15.796927770517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
121275dj2 2695c2 1925e2 |
Quadratic twists by: -3 5 -7 |