Atkin-Lehner |
2- 3+ 19+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
33744h |
Isogeny class |
Conductor |
33744 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
18164823883776 = 221 · 32 · 19 · 373 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 3 2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-237144,44528112] |
[a1,a2,a3,a4,a6] |
Generators |
[684:14208:1] |
Generators of the group modulo torsion |
j |
360082502774219737/4434771456 |
j-invariant |
L |
5.9226278777183 |
L(r)(E,1)/r! |
Ω |
0.62709452597107 |
Real period |
R |
0.39352306765787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4218e2 101232bf2 |
Quadratic twists by: -4 -3 |