Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
33516x |
Isogeny class |
Conductor |
33516 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-731795092929766656 = -1 · 28 · 311 · 73 · 196 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-62391,41592670] |
[a1,a2,a3,a4,a6] |
Generators |
[4382:289674:1] |
Generators of the group modulo torsion |
j |
-419592713776/11432149083 |
j-invariant |
L |
5.5867999391067 |
L(r)(E,1)/r! |
Ω |
0.23844862075528 |
Real period |
R |
3.9049641815292 |
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 |
11172u2 33516i2 |
Quadratic twists by: -3 -7 |