Atkin-Lehner |
2+ 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
42048h |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3437058686976 = 215 · 39 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 -6 0 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11244,-450160] |
[a1,a2,a3,a4,a6] |
j |
6581255624/143883 |
j-invariant |
L |
3.713958712498 |
L(r)(E,1)/r! |
Ω |
0.46424483908524 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42048j2 21024c2 14016f2 |
Quadratic twists by: -4 8 -3 |