Atkin-Lehner |
2- 3- 5+ 17- 73- |
Signs for the Atkin-Lehner involutions |
Class |
37230bd |
Isogeny class |
Conductor |
37230 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
41280 |
Modular degree for the optimal curve |
Δ |
-5654306250 = -1 · 2 · 36 · 55 · 17 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -3 0 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1886,-31890] |
[a1,a2,a3,a4,a6] |
Generators |
[518:2495:8] |
Generators of the group modulo torsion |
j |
-741930405105889/5654306250 |
j-invariant |
L |
9.205558824269 |
L(r)(E,1)/r! |
Ω |
0.36206396348747 |
Real period |
R |
4.2375380009285 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
111690s1 |
Quadratic twists by: -3 |