Atkin-Lehner |
2+ 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
94752i |
Isogeny class |
Conductor |
94752 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
20361971331072 = 212 · 38 · 73 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18156,-916256] |
[a1,a2,a3,a4,a6] |
Generators |
[-70:108:1] |
Generators of the group modulo torsion |
j |
221664812608/6819183 |
j-invariant |
L |
4.5052879291443 |
L(r)(E,1)/r! |
Ω |
0.41206167131265 |
Real period |
R |
1.3666910326157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001339 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94752bf2 31584v2 |
Quadratic twists by: -4 -3 |