Atkin-Lehner |
5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
13475f |
Isogeny class |
Conductor |
13475 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
1381012325 = 52 · 73 · 115 |
Discriminant |
Eigenvalues |
0 0 5+ 7- 11- 5 5 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-350,1776] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:60:1] |
Generators of the group modulo torsion |
j |
552960000/161051 |
j-invariant |
L |
3.7221236681006 |
L(r)(E,1)/r! |
Ω |
1.4129116107195 |
Real period |
R |
0.26343641313876 |
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 |
121275da1 13475p1 13475g1 |
Quadratic twists by: -3 5 -7 |