Atkin-Lehner |
3- 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48165v |
Isogeny class |
Conductor |
48165 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
61920 |
Modular degree for the optimal curve |
Δ |
230371701885 = 315 · 5 · 132 · 19 |
Discriminant |
Eigenvalues |
0 3- 5- -2 -6 13+ -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1785,-18196] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:40:1] |
Generators of the group modulo torsion |
j |
3723873746944/1363146165 |
j-invariant |
L |
4.8607632142121 |
L(r)(E,1)/r! |
Ω |
0.75699866667085 |
Real period |
R |
0.42807325192951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999809 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48165p1 |
Quadratic twists by: 13 |