Atkin-Lehner |
2+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
68800cm |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
-4403200000000 = -1 · 218 · 58 · 43 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 -3 1 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4833,-162463] |
[a1,a2,a3,a4,a6] |
Generators |
[83:36:1] |
Generators of the group modulo torsion |
j |
-121945/43 |
j-invariant |
L |
6.9806195783664 |
L(r)(E,1)/r! |
Ω |
0.28130273562704 |
Real period |
R |
4.1358879556314 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001963 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800ec1 1075g1 68800s1 |
Quadratic twists by: -4 8 5 |