Atkin-Lehner |
2+ 3- 5+ 7+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720m |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2791398758400 = -1 · 211 · 33 · 52 · 74 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 0 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1216,81620] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:294:1] |
Generators of the group modulo torsion |
j |
-97174336898/1362987675 |
j-invariant |
L |
7.1222372375634 |
L(r)(E,1)/r! |
Ω |
0.68268535472597 |
Real period |
R |
0.86938992566383 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360q2 |
Quadratic twists by: -4 |