Atkin-Lehner |
3+ 7- 17+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
117453d |
Isogeny class |
Conductor |
117453 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1183161410707166289 = 38 · 710 · 172 · 472 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 0 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-646164,192682356] |
[a1,a2,a3,a4,a6] |
j |
253608490463558833/10056706055361 |
j-invariant |
L |
0.54295144055927 |
L(r)(E,1)/r! |
Ω |
0.27147626695401 |
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 |
16779j2 |
Quadratic twists by: -7 |