Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
49686cn |
Isogeny class |
Conductor |
49686 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-252433782871281648 = -1 · 24 · 34 · 79 · 136 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 4 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,20530,-24137989] |
[a1,a2,a3,a4,a6] |
Generators |
[8715:809377:1] |
Generators of the group modulo torsion |
j |
4913/1296 |
j-invariant |
L |
5.7509470878476 |
L(r)(E,1)/r! |
Ω |
0.14642623699424 |
Real period |
R |
4.9094233433783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999775 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49686dk1 294f1 |
Quadratic twists by: -7 13 |