Atkin-Lehner |
2- 3+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
42048bg |
Isogeny class |
Conductor |
42048 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-126144 = -1 · 26 · 33 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 3 -2 -4 -6 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6,18] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:3:1] |
Generators of the group modulo torsion |
j |
-13824/73 |
j-invariant |
L |
6.236729191475 |
L(r)(E,1)/r! |
Ω |
2.8578450878863 |
Real period |
R |
1.0911594225153 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42048bf1 21024g1 42048bi1 |
Quadratic twists by: -4 8 -3 |