Atkin-Lehner |
2+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99008bb |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4.0490876680314E+19 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 0 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2479233,-1470186367] |
[a1,a2,a3,a4,a6] |
Generators |
[46019:9866052:1] |
Generators of the group modulo torsion |
j |
6428890034697390625/154460436555152 |
j-invariant |
L |
10.329894286235 |
L(r)(E,1)/r! |
Ω |
0.12049138890252 |
Real period |
R |
7.1442825121087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014602 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99008ca3 3094i3 |
Quadratic twists by: -4 8 |