Atkin-Lehner |
5+ 7+ 17- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13685b |
Isogeny class |
Conductor |
13685 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1600 |
Modular degree for the optimal curve |
Δ |
-478975 = -1 · 52 · 72 · 17 · 23 |
Discriminant |
Eigenvalues |
1 2 5+ 7+ 0 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3,32] |
[a1,a2,a3,a4,a6] |
j |
-4826809/478975 |
j-invariant |
L |
2.4268268748728 |
L(r)(E,1)/r! |
Ω |
2.4268268748728 |
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 |
123165j1 68425e1 95795m1 |
Quadratic twists by: -3 5 -7 |