Atkin-Lehner |
2+ 3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720n |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
75103402500000000 = 28 · 36 · 510 · 72 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3262516,2267052284] |
[a1,a2,a3,a4,a6] |
Generators |
[1382:19992:1] |
Generators of the group modulo torsion |
j |
15001746780085491682384/293372666015625 |
j-invariant |
L |
7.6167102409711 |
L(r)(E,1)/r! |
Ω |
0.31734360373418 |
Real period |
R |
4.0002435590004 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24360r2 |
Quadratic twists by: -4 |