Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
55200cu |
Isogeny class |
Conductor |
55200 |
Conductor |
∏ cp |
720 |
Product of Tamagawa factors cp |
deg |
4147200 |
Modular degree for the optimal curve |
Δ |
5.4728584964208E+21 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 -5 1 0 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-44542833,114353186463] |
[a1,a2,a3,a4,a6] |
Generators |
[-3417:476100:1] |
Generators of the group modulo torsion |
j |
6108537517191549760/3420536560263 |
j-invariant |
L |
7.5225106155239 |
L(r)(E,1)/r! |
Ω |
0.1338908819308 |
Real period |
R |
0.078033180898709 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000054 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55200bw1 110400hd1 55200b1 |
Quadratic twists by: -4 8 5 |