Atkin-Lehner |
2+ 3+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
24072c |
Isogeny class |
Conductor |
24072 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
770304 = 28 · 3 · 17 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 0 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1004,-11916] |
[a1,a2,a3,a4,a6] |
Generators |
[-183874082:-1449440:10218313] |
Generators of the group modulo torsion |
j |
437640371152/3009 |
j-invariant |
L |
4.5624934740373 |
L(r)(E,1)/r! |
Ω |
0.84806719593438 |
Real period |
R |
10.759745208658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48144c1 72216j1 |
Quadratic twists by: -4 -3 |