Atkin-Lehner |
2+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
22496b |
Isogeny class |
Conductor |
22496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-19750408192 = -1 · 212 · 194 · 37 |
Discriminant |
Eigenvalues |
2+ 0 2 4 4 6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-284,-7008] |
[a1,a2,a3,a4,a6] |
j |
-618470208/4821877 |
j-invariant |
L |
4.6173333095272 |
L(r)(E,1)/r! |
Ω |
0.51303703439192 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22496k2 44992p1 |
Quadratic twists by: -4 8 |