Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
55800cg |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
112640 |
Modular degree for the optimal curve |
Δ |
-57203718750000 = -1 · 24 · 310 · 59 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 0 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,8250,-221875] |
[a1,a2,a3,a4,a6] |
Generators |
[26:101:1] |
Generators of the group modulo torsion |
j |
2725888/2511 |
j-invariant |
L |
5.8660344427836 |
L(r)(E,1)/r! |
Ω |
0.34332546379884 |
Real period |
R |
4.2714822094212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000258 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
111600bw1 18600f1 55800bd1 |
Quadratic twists by: -4 -3 5 |