Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
33516w |
Isogeny class |
Conductor |
33516 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-8156020531647744 = -1 · 28 · 37 · 79 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,29841,-3865610] |
[a1,a2,a3,a4,a6] |
Generators |
[267:4810:1] |
Generators of the group modulo torsion |
j |
390224/1083 |
j-invariant |
L |
6.4456076965814 |
L(r)(E,1)/r! |
Ω |
0.21306281558594 |
Real period |
R |
5.042024561986 |
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 |
11172w2 33516m2 |
Quadratic twists by: -3 -7 |