Atkin-Lehner |
2+ 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
48048h |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1.7029165269413E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 11+ 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3174192,893287440] |
[a1,a2,a3,a4,a6] |
j |
3454009045217783656132/1663004420841132369 |
j-invariant |
L |
1.0639822883985 |
L(r)(E,1)/r! |
Ω |
0.13299778609339 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24024l2 |
Quadratic twists by: -4 |