Atkin-Lehner |
2+ 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
42048bc |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-91958976 = -1 · 26 · 39 · 73 |
Discriminant |
Eigenvalues |
2+ 3- -3 -4 0 4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,96,-286] |
[a1,a2,a3,a4,a6] |
Generators |
[7:27:1] |
Generators of the group modulo torsion |
j |
2097152/1971 |
j-invariant |
L |
3.0094291369563 |
L(r)(E,1)/r! |
Ω |
1.0417598249568 |
Real period |
R |
0.72219840525384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999705 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42048cl1 657c1 14016o1 |
Quadratic twists by: -4 8 -3 |