Atkin-Lehner |
2+ 3- 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60450bc |
Isogeny class |
Conductor |
60450 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
4055040 |
Modular degree for the optimal curve |
Δ |
4.0089255837696E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-18630251,30934557398] |
[a1,a2,a3,a4,a6] |
j |
45767771950478761441441/25657123736125440 |
j-invariant |
L |
1.6647792913082 |
L(r)(E,1)/r! |
Ω |
0.16647792942155 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12090y1 |
Quadratic twists by: 5 |