Atkin-Lehner |
2- 3- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
7008j |
Isogeny class |
Conductor |
7008 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
3405888 = 26 · 36 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -6 0 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-42,-72] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:6:1] |
Generators of the group modulo torsion |
j |
131096512/53217 |
j-invariant |
L |
5.4850161007829 |
L(r)(E,1)/r! |
Ω |
1.9391176436931 |
Real period |
R |
0.94287146847825 |
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 |
7008b1 14016f1 21024c1 |
Quadratic twists by: -4 8 -3 |