Atkin-Lehner |
2- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
99176s |
Isogeny class |
Conductor |
99176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
5440646199296 = 211 · 73 · 114 · 232 |
Discriminant |
Eigenvalues |
2- 2 2 7- 11- 2 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-157712,24159500] |
[a1,a2,a3,a4,a6] |
Generators |
[6375:4600:27] |
Generators of the group modulo torsion |
j |
617584817812142/7745089 |
j-invariant |
L |
12.525550081182 |
L(r)(E,1)/r! |
Ω |
0.6937259875949 |
Real period |
R |
4.5138679743738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006068 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99176t2 |
Quadratic twists by: -7 |