Atkin-Lehner |
2+ 3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720n |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
6015945600000 = 210 · 33 · 55 · 74 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-52200016,145144977284] |
[a1,a2,a3,a4,a6] |
Generators |
[20655391:18289446:4913] |
Generators of the group modulo torsion |
j |
15361572403857791959670596/5874946875 |
j-invariant |
L |
7.6167102409711 |
L(r)(E,1)/r! |
Ω |
0.31734360373418 |
Real period |
R |
8.0004871180007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360r4 |
Quadratic twists by: -4 |