Atkin-Lehner |
2+ 3- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
71136r |
Isogeny class |
Conductor |
71136 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
47104 |
Modular degree for the optimal curve |
Δ |
25617923136 = 26 · 38 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 0 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4449,113960] |
[a1,a2,a3,a4,a6] |
j |
208738917568/549081 |
j-invariant |
L |
2.3907479414864 |
L(r)(E,1)/r! |
Ω |
1.1953739715647 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
71136l1 23712o1 |
Quadratic twists by: -4 -3 |