Atkin-Lehner |
2+ 3+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
7008b |
Isogeny class |
Conductor |
7008 |
Conductor |
∏ cp |
4 |
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 |
[-2:12:1] |
Generators of the group modulo torsion |
j |
131096512/53217 |
j-invariant |
L |
3.9740442408682 |
L(r)(E,1)/r! |
Ω |
2.2743259429586 |
Real period |
R |
1.7473503537046 |
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 |
7008j1 14016t1 21024j1 |
Quadratic twists by: -4 8 -3 |