Atkin-Lehner |
2- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
68800dv |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
4 |
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 |
[-16:172:1] |
Generators of the group modulo torsion |
j |
-14016105/14792 |
j-invariant |
L |
5.02632157739 |
L(r)(E,1)/r! |
Ω |
0.96960515595879 |
Real period |
R |
1.2959712381738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999987256 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800x1 17200t1 68800ef1 |
Quadratic twists by: -4 8 5 |