Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5082v |
Isogeny class |
Conductor |
5082 |
Conductor |
∏ cp |
45 |
Product of Tamagawa factors cp |
deg |
87120 |
Modular degree for the optimal curve |
Δ |
-416792006832956832 = -1 · 25 · 311 · 73 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- 3 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-701742,-228677877] |
[a1,a2,a3,a4,a6] |
j |
-178284948703873/1944365472 |
j-invariant |
L |
3.7089882738069 |
L(r)(E,1)/r! |
Ω |
0.082421961640153 |
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 |
40656cm1 15246r1 127050cx1 35574df1 |
Quadratic twists by: -4 -3 5 -7 |