Atkin-Lehner |
3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50715bq |
Isogeny class |
Conductor |
50715 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
699047489975625 = 310 · 54 · 77 · 23 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-123489,16685248] |
[a1,a2,a3,a4,a6] |
Generators |
[-2714:36637:8] |
Generators of the group modulo torsion |
j |
2428257525121/8150625 |
j-invariant |
L |
7.0866242644011 |
L(r)(E,1)/r! |
Ω |
0.51090786168064 |
Real period |
R |
3.4676625649491 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16905c1 7245i1 |
Quadratic twists by: -3 -7 |