Atkin-Lehner |
2- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
129850cl |
Isogeny class |
Conductor |
129850 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
10368000 |
Modular degree for the optimal curve |
Δ |
-9.7428078125E+20 |
Discriminant |
Eigenvalues |
2- -3 5+ 7- 0 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1501620,-1324632753] |
[a1,a2,a3,a4,a6] |
Generators |
[709:9445:1] |
Generators of the group modulo torsion |
j |
203702260843719/530000000000 |
j-invariant |
L |
7.1990669932555 |
L(r)(E,1)/r! |
Ω |
0.080643717094495 |
Real period |
R |
2.231750708312 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000115839 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25970j1 2650j1 |
Quadratic twists by: 5 -7 |