Atkin-Lehner |
2- 47- |
Signs for the Atkin-Lehner involutions |
Class |
70688d |
Isogeny class |
Conductor |
70688 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-6644672 = -1 · 26 · 473 |
Discriminant |
Eigenvalues |
2- 0 4 0 0 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,47,0] |
[a1,a2,a3,a4,a6] |
Generators |
[1445:5712:125] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
7.9688001976799 |
L(r)(E,1)/r! |
Ω |
1.4162266209135 |
Real period |
R |
5.6267832278696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000328 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70688d1 70688e1 |
Quadratic twists by: -4 -47 |