Atkin-Lehner |
2- 3- 5+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
55800br |
Isogeny class |
Conductor |
55800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-11299500000000 = -1 · 28 · 36 · 59 · 31 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 2 2 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5700,-231500] |
[a1,a2,a3,a4,a6] |
Generators |
[1860:80150:1] |
Generators of the group modulo torsion |
j |
-7023616/3875 |
j-invariant |
L |
5.6252858414092 |
L(r)(E,1)/r! |
Ω |
0.26785202946074 |
Real period |
R |
5.2503670148166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000142 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111600bm1 6200a1 11160d1 |
Quadratic twists by: -4 -3 5 |