Atkin-Lehner |
2- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
9400m |
Isogeny class |
Conductor |
9400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
207646000000000 = 210 · 59 · 473 |
Discriminant |
Eigenvalues |
2- 1 5- 1 -1 -1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-34208,2323088] |
[a1,a2,a3,a4,a6] |
Generators |
[83:250:1] |
Generators of the group modulo torsion |
j |
2213550644/103823 |
j-invariant |
L |
5.0664172160324 |
L(r)(E,1)/r! |
Ω |
0.55649188789414 |
Real period |
R |
2.2760516937653 |
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 |
18800l1 75200bh1 84600y1 9400e1 |
Quadratic twists by: -4 8 -3 5 |