Atkin-Lehner |
5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
13475n |
Isogeny class |
Conductor |
13475 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
277431048125 = 54 · 79 · 11 |
Discriminant |
Eigenvalues |
0 2 5- 7- 11+ 1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1633,-1282] |
[a1,a2,a3,a4,a6] |
Generators |
[138:1543:1] |
Generators of the group modulo torsion |
j |
6553600/3773 |
j-invariant |
L |
5.3763493818986 |
L(r)(E,1)/r! |
Ω |
0.8173655719708 |
Real period |
R |
1.6444139459334 |
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 |
121275gh1 13475b1 1925k1 |
Quadratic twists by: -3 5 -7 |