Atkin-Lehner |
2- 3- 5+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
120600bo |
Isogeny class |
Conductor |
120600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
-1582513200 = -1 · 24 · 310 · 52 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 6 0 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-30,-1915] |
[a1,a2,a3,a4,a6] |
Generators |
[106:1089:1] |
Generators of the group modulo torsion |
j |
-10240/5427 |
j-invariant |
L |
8.8929569623755 |
L(r)(E,1)/r! |
Ω |
0.67549423186436 |
Real period |
R |
3.2912779335267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999146925 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40200b1 120600be1 |
Quadratic twists by: -3 5 |