Atkin-Lehner |
3- 23+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
6969a |
Isogeny class |
Conductor |
6969 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1600 |
Modular degree for the optimal curve |
Δ |
-20907 = -1 · 32 · 23 · 101 |
Discriminant |
Eigenvalues |
-2 3- 4 4 -3 1 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-16,-32] |
[a1,a2,a3,a4,a6] |
j |
-481890304/20907 |
j-invariant |
L |
2.3688095839075 |
L(r)(E,1)/r! |
Ω |
1.1844047919537 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111504m1 20907b1 |
Quadratic twists by: -4 -3 |