Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
55800bs |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
124416 |
Modular degree for the optimal curve |
Δ |
-19525536000000 = -1 · 211 · 39 · 56 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 5 -1 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7275,319750] |
[a1,a2,a3,a4,a6] |
Generators |
[74:432:1] |
Generators of the group modulo torsion |
j |
-1825346/837 |
j-invariant |
L |
6.8082330554757 |
L(r)(E,1)/r! |
Ω |
0.64058823837296 |
Real period |
R |
2.6570239069329 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111600bn1 18600i1 2232d1 |
Quadratic twists by: -4 -3 5 |