Atkin-Lehner |
2- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68800ef |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-1514700800000000 = -1 · 221 · 58 · 432 |
Discriminant |
Eigenvalues |
2- 3 5- -4 5 -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-23500,2330000] |
[a1,a2,a3,a4,a6] |
Generators |
[678:35776:27] |
Generators of the group modulo torsion |
j |
-14016105/14792 |
j-invariant |
L |
10.331297278109 |
L(r)(E,1)/r! |
Ω |
0.43362060801163 |
Real period |
R |
2.9782075295849 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800cr1 17200bk1 68800dv1 |
Quadratic twists by: -4 8 5 |