Atkin-Lehner |
2+ 3- 5- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
19470s |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
5248 |
Modular degree for the optimal curve |
Δ |
-1713360 = -1 · 24 · 3 · 5 · 112 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- 3 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-448,-3682] |
[a1,a2,a3,a4,a6] |
Generators |
[57:367:1] |
Generators of the group modulo torsion |
j |
-9912050027641/1713360 |
j-invariant |
L |
4.8708805744625 |
L(r)(E,1)/r! |
Ω |
0.5189932874871 |
Real period |
R |
2.3463119330727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58410x1 97350bz1 |
Quadratic twists by: -3 5 |