Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
43560cq |
Isogeny class |
Conductor |
43560 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
199680 |
Modular degree for the optimal curve |
Δ |
204927148800000 = 211 · 37 · 55 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 11- -1 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17787,-599434] |
[a1,a2,a3,a4,a6] |
Generators |
[-98:450:1] |
Generators of the group modulo torsion |
j |
28471058/9375 |
j-invariant |
L |
7.9760384497344 |
L(r)(E,1)/r! |
Ω |
0.42429220903917 |
Real period |
R |
1.8798456063553 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
87120cq1 14520g1 43560bg1 |
Quadratic twists by: -4 -3 -11 |