Atkin-Lehner |
2+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68800x |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-96940851200 = -1 · 221 · 52 · 432 |
Discriminant |
Eigenvalues |
2+ 3 5+ -4 -5 2 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-940,-18640] |
[a1,a2,a3,a4,a6] |
Generators |
[4818:63296:27] |
Generators of the group modulo torsion |
j |
-14016105/14792 |
j-invariant |
L |
9.9508189350119 |
L(r)(E,1)/r! |
Ω |
0.41376034443998 |
Real period |
R |
3.0062145480493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000122 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800dv1 2150o1 68800cr1 |
Quadratic twists by: -4 8 5 |