Atkin-Lehner |
2+ 5- 71- |
Signs for the Atkin-Lehner involutions |
Class |
50410i |
Isogeny class |
Conductor |
50410 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
26208 |
Modular degree for the optimal curve |
Δ |
-206479360 = -1 · 213 · 5 · 712 |
Discriminant |
Eigenvalues |
2+ 2 5- -5 1 1 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,73,-619] |
[a1,a2,a3,a4,a6] |
Generators |
[2130:6359:216] |
Generators of the group modulo torsion |
j |
8353079/40960 |
j-invariant |
L |
5.7610422560354 |
L(r)(E,1)/r! |
Ω |
0.89665071045982 |
Real period |
R |
6.4250685232465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998497 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50410h1 |
Quadratic twists by: -71 |