Atkin-Lehner |
2- 3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
48048bl |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1306126081548288 = 213 · 36 · 76 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 11- 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-42008,-2807184] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:702:1] [-92:520:1] |
Generators of the group modulo torsion |
j |
2001566936265625/318878437878 |
j-invariant |
L |
8.1083093010694 |
L(r)(E,1)/r! |
Ω |
0.33706483170164 |
Real period |
R |
3.0069546488038 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6006p2 |
Quadratic twists by: -4 |