Atkin-Lehner |
2- 7- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
7084i |
Isogeny class |
Conductor |
7084 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-106911728 = -1 · 24 · 74 · 112 · 23 |
Discriminant |
Eigenvalues |
2- -3 -4 7- 11+ -3 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-397,3085] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:55:1] [-9:77:1] |
Generators of the group modulo torsion |
j |
-432489182976/6681983 |
j-invariant |
L |
3.0176515350912 |
L(r)(E,1)/r! |
Ω |
1.8859351042551 |
Real period |
R |
0.066670099276005 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28336ba1 113344cg1 63756be1 49588k1 |
Quadratic twists by: -4 8 -3 -7 |