Atkin-Lehner |
2+ 7+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22568a |
Isogeny class |
Conductor |
22568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-626848768 = -1 · 210 · 72 · 13 · 312 |
Discriminant |
Eigenvalues |
2+ 0 0 7+ 0 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,205,-418] |
[a1,a2,a3,a4,a6] |
j |
930433500/612157 |
j-invariant |
L |
1.8511870456875 |
L(r)(E,1)/r! |
Ω |
0.92559352284374 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45136a2 |
Quadratic twists by: -4 |