Atkin-Lehner |
2- 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42048cm |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
31388663808 = 216 · 38 · 73 |
Discriminant |
Eigenvalues |
2- 3- 4 2 0 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7788,264400] |
[a1,a2,a3,a4,a6] |
j |
1093437796/657 |
j-invariant |
L |
4.6346522426778 |
L(r)(E,1)/r! |
Ω |
1.158663060683 |
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 |
42048bd1 10512l1 14016cf1 |
Quadratic twists by: -4 8 -3 |