Atkin-Lehner |
2+ 3+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
33744c |
Isogeny class |
Conductor |
33744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-52121332156290048 = -1 · 210 · 34 · 198 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 -4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,20496,10919088] |
[a1,a2,a3,a4,a6] |
j |
929843593713212/50899738433877 |
j-invariant |
L |
0.54031810945531 |
L(r)(E,1)/r! |
Ω |
0.27015905472628 |
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 |
16872e4 101232d3 |
Quadratic twists by: -4 -3 |