Atkin-Lehner |
2- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50960x |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-65228800 = -1 · 212 · 52 · 72 · 13 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- 5 13+ -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16,-384] |
[a1,a2,a3,a4,a6] |
Generators |
[21:90:1] |
Generators of the group modulo torsion |
j |
-2401/325 |
j-invariant |
L |
8.4971666926032 |
L(r)(E,1)/r! |
Ω |
0.87076197778696 |
Real period |
R |
2.4395778953947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999604 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3185b1 50960bk1 |
Quadratic twists by: -4 -7 |