Atkin-Lehner |
5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
13175c |
Isogeny class |
Conductor |
13175 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
41171875 = 57 · 17 · 31 |
Discriminant |
Eigenvalues |
-1 1 5+ -2 -2 -7 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-88,-83] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:5:1] [-3:14:1] |
Generators of the group modulo torsion |
j |
4826809/2635 |
j-invariant |
L |
4.6724113640929 |
L(r)(E,1)/r! |
Ω |
1.6641411638676 |
Real period |
R |
0.70192533325034 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118575o1 2635b1 |
Quadratic twists by: -3 5 |