Atkin-Lehner |
2- 3- 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
33456p |
Isogeny class |
Conductor |
33456 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-34680728059379712 = -1 · 219 · 34 · 172 · 414 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-74808,11904084] |
[a1,a2,a3,a4,a6] |
Generators |
[-282:3264:1] |
Generators of the group modulo torsion |
j |
-11303519856765625/8466974623872 |
j-invariant |
L |
7.2464121961635 |
L(r)(E,1)/r! |
Ω |
0.33787017466523 |
Real period |
R |
1.3404579516643 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4182a2 100368bv2 |
Quadratic twists by: -4 -3 |