Atkin-Lehner |
2- 7- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
77714j |
Isogeny class |
Conductor |
77714 |
Conductor |
∏ cp |
50 |
Product of Tamagawa factors cp |
deg |
3102000 |
Modular degree for the optimal curve |
Δ |
-5.4539928371927E+21 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 2 13+ -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,784244,-3543030128] |
[a1,a2,a3,a4,a6] |
Generators |
[8856:831028:1] |
Generators of the group modulo torsion |
j |
453407867428435919/46358174206263296 |
j-invariant |
L |
10.827364901369 |
L(r)(E,1)/r! |
Ω |
0.064323784828772 |
Real period |
R |
3.3665198432717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000323 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1586d1 |
Quadratic twists by: -7 |