Atkin-Lehner |
2+ 5- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
5170d |
Isogeny class |
Conductor |
5170 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
880 |
Modular degree for the optimal curve |
Δ |
-3887840 = -1 · 25 · 5 · 11 · 472 |
Discriminant |
Eigenvalues |
2+ 1 5- 1 11- -4 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-48,-162] |
[a1,a2,a3,a4,a6] |
j |
-11867954041/3887840 |
j-invariant |
L |
1.7885722855065 |
L(r)(E,1)/r! |
Ω |
0.89428614275324 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41360k1 46530t1 25850k1 56870ba1 |
Quadratic twists by: -4 -3 5 -11 |