Atkin-Lehner |
2- 7+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
28336r |
Isogeny class |
Conductor |
28336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
511116607232 = 28 · 72 · 116 · 23 |
Discriminant |
Eigenvalues |
2- 2 0 7+ 11+ 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3228,-60580] |
[a1,a2,a3,a4,a6] |
Generators |
[-24011944:-61605999:681472] |
Generators of the group modulo torsion |
j |
14535127906000/1996549247 |
j-invariant |
L |
7.5175094513953 |
L(r)(E,1)/r! |
Ω |
0.63913671332938 |
Real period |
R |
11.761974073176 |
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 |
7084j2 113344dp2 |
Quadratic twists by: -4 8 |