Atkin-Lehner |
5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
13475g |
Isogeny class |
Conductor |
13475 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
33600 |
Modular degree for the optimal curve |
Δ |
162474719023925 = 52 · 79 · 115 |
Discriminant |
Eigenvalues |
0 0 5+ 7- 11- -5 -5 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-17150,-609254] |
[a1,a2,a3,a4,a6] |
Generators |
[196:1886:1] |
Generators of the group modulo torsion |
j |
552960000/161051 |
j-invariant |
L |
3.1925978596831 |
L(r)(E,1)/r! |
Ω |
0.42649430141004 |
Real period |
R |
0.74856753047532 |
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 |
121275dc1 13475o1 13475f1 |
Quadratic twists by: -3 5 -7 |