Atkin-Lehner |
2+ 3- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7038b |
Isogeny class |
Conductor |
7038 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
6874356252672 = 220 · 36 · 17 · 232 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4758,-5644] |
[a1,a2,a3,a4,a6] |
j |
16342588257633/9429843968 |
j-invariant |
L |
1.2540580956782 |
L(r)(E,1)/r! |
Ω |
0.62702904783911 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56304bh1 782e1 119646y1 |
Quadratic twists by: -4 -3 17 |