Atkin-Lehner |
2- 3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48048cj |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-747382977589248 = -1 · 212 · 312 · 74 · 11 · 13 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,296,1315412] |
[a1,a2,a3,a4,a6] |
Generators |
[-82:864:1] [38:-1176:1] |
Generators of the group modulo torsion |
j |
697864103/182466547263 |
j-invariant |
L |
9.9503746278847 |
L(r)(E,1)/r! |
Ω |
0.40085712237224 |
Real period |
R |
1.0342810934105 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3003e4 |
Quadratic twists by: -4 |