Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5082u |
Isogeny class |
Conductor |
5082 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
Δ |
384203331401573376 = 210 · 36 · 74 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 11- -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-697507,-222516799] |
[a1,a2,a3,a4,a6] |
j |
21184262604460873/216872764416 |
j-invariant |
L |
3.3060613941953 |
L(r)(E,1)/r! |
Ω |
0.16530306970977 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
40656cl2 15246q2 127050cr2 35574de2 |
Quadratic twists by: -4 -3 5 -7 |