Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
89376bi |
Isogeny class |
Conductor |
89376 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-195707699712 = -1 · 29 · 32 · 76 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408,-21384] |
[a1,a2,a3,a4,a6] |
Generators |
[19805:245784:125] |
Generators of the group modulo torsion |
j |
-125000/3249 |
j-invariant |
L |
5.6253444432401 |
L(r)(E,1)/r! |
Ω |
0.43616432956042 |
Real period |
R |
6.4486525568797 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009175 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
89376v2 1824j2 |
Quadratic twists by: -4 -7 |