Atkin-Lehner |
2+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
68800bi |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
241920 |
Modular degree for the optimal curve |
Δ |
-60214658252800 = -1 · 214 · 52 · 435 |
Discriminant |
Eigenvalues |
2+ 2 5+ -2 4 -6 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19813,-1129923] |
[a1,a2,a3,a4,a6] |
j |
-2100082723840/147008443 |
j-invariant |
L |
1.0019635740171 |
L(r)(E,1)/r! |
Ω |
0.20039271837524 |
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 |
68800db1 8600f1 68800by1 |
Quadratic twists by: -4 8 5 |