Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
31850bs |
Isogeny class |
Conductor |
31850 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
1.53482061824E+20 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2450230,-1349948603] |
[a1,a2,a3,a4,a6] |
Generators |
[-761:8955:1] |
Generators of the group modulo torsion |
j |
884984855328729/83492864000 |
j-invariant |
L |
8.5938992022878 |
L(r)(E,1)/r! |
Ω |
0.12139975776911 |
Real period |
R |
1.7697521313495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6370j1 4550s1 |
Quadratic twists by: 5 -7 |