Atkin-Lehner |
2- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
99176r |
Isogeny class |
Conductor |
99176 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-13494825955072 = -1 · 28 · 77 · 112 · 232 |
Discriminant |
Eigenvalues |
2- 0 4 7- 11- 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2303,-181790] |
[a1,a2,a3,a4,a6] |
Generators |
[645:16330:1] |
Generators of the group modulo torsion |
j |
-44851536/448063 |
j-invariant |
L |
9.8200622537243 |
L(r)(E,1)/r! |
Ω |
0.29988311549533 |
Real period |
R |
4.0932874082181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009135 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14168j2 |
Quadratic twists by: -7 |