Atkin-Lehner |
2+ 3- 7- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
92106bb |
Isogeny class |
Conductor |
92106 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
88403007937563648 = 210 · 310 · 76 · 172 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 6 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2103696,-1173804800] |
[a1,a2,a3,a4,a6] |
Generators |
[-832:560:1] |
Generators of the group modulo torsion |
j |
1412359460860116900097/121266128858112 |
j-invariant |
L |
6.9651691420118 |
L(r)(E,1)/r! |
Ω |
0.12535914954655 |
Real period |
R |
2.315071391548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004588 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
30702s2 |
Quadratic twists by: -3 |