Atkin-Lehner |
2+ 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42048bd |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-41244704243712 = -1 · 217 · 310 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 4 -2 0 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6348,-365200] |
[a1,a2,a3,a4,a6] |
Generators |
[89325:608455:729] |
Generators of the group modulo torsion |
j |
-296071778/431649 |
j-invariant |
L |
7.5422661561861 |
L(r)(E,1)/r! |
Ω |
0.25411408410352 |
Real period |
R |
7.4201575473464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999932 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42048cm2 5256i2 14016q2 |
Quadratic twists by: -4 8 -3 |