Atkin-Lehner |
2+ 3- 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
98880s |
Isogeny class |
Conductor |
98880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
66744000000000000 = 215 · 34 · 512 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 0 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-376801,-88279585] |
[a1,a2,a3,a4,a6] |
Generators |
[-334:651:1] |
Generators of the group modulo torsion |
j |
180555644521022408/2036865234375 |
j-invariant |
L |
7.2109467622335 |
L(r)(E,1)/r! |
Ω |
0.19282685942049 |
Real period |
R |
4.6744958031074 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002127 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98880a3 49440k3 |
Quadratic twists by: -4 8 |