Atkin-Lehner |
7- 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
29939a |
Isogeny class |
Conductor |
29939 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
-503184773 = -1 · 77 · 13 · 47 |
Discriminant |
Eigenvalues |
-1 -1 -4 7- -4 13+ 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-295,2106] |
[a1,a2,a3,a4,a6] |
Generators |
[6:21:1] [-50:511:8] |
Generators of the group modulo torsion |
j |
-24137569/4277 |
j-invariant |
L |
3.1101840724655 |
L(r)(E,1)/r! |
Ω |
1.5902157428042 |
Real period |
R |
0.48895630774296 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4277a1 |
Quadratic twists by: -7 |