Atkin-Lehner |
2+ 3- 7+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
66402f |
Isogeny class |
Conductor |
66402 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1417517530204356 = 22 · 312 · 74 · 172 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-135126,19066432] |
[a1,a2,a3,a4,a6] |
j |
374295628231461217/1944468491364 |
j-invariant |
L |
1.9288777073838 |
L(r)(E,1)/r! |
Ω |
0.48221942343572 |
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 |
22134z2 |
Quadratic twists by: -3 |