Atkin-Lehner |
2- 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
55800ch |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
-260340480000 = -1 · 211 · 38 · 54 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -3 1 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-75,24550] |
[a1,a2,a3,a4,a6] |
Generators |
[14:162:1] |
Generators of the group modulo torsion |
j |
-50/279 |
j-invariant |
L |
6.9944677872993 |
L(r)(E,1)/r! |
Ω |
0.78738749749912 |
Real period |
R |
2.2207832260114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111600bz1 18600o1 55800w1 |
Quadratic twists by: -4 -3 5 |