Atkin-Lehner |
2+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
39200j |
Isogeny class |
Conductor |
39200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
230400 |
Modular degree for the optimal curve |
Δ |
-28824005000000000 = -1 · 29 · 510 · 78 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7- 3 2 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10208,-8181412] |
[a1,a2,a3,a4,a6] |
j |
-200/49 |
j-invariant |
L |
3.0009320262736 |
L(r)(E,1)/r! |
Ω |
0.16671844590603 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
39200bz1 78400bv1 39200cw1 5600f1 |
Quadratic twists by: -4 8 5 -7 |