Atkin-Lehner |
2- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
6958k |
Isogeny class |
Conductor |
6958 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
464965789456 = 24 · 78 · 712 |
Discriminant |
Eigenvalues |
2- 0 2 7- -4 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4689,-117967] |
[a1,a2,a3,a4,a6] |
Generators |
[417:8176:1] |
Generators of the group modulo torsion |
j |
96892315857/3952144 |
j-invariant |
L |
6.4811866915668 |
L(r)(E,1)/r! |
Ω |
0.57839983345563 |
Real period |
R |
5.6026872041484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55664t2 62622bb2 994f2 |
Quadratic twists by: -4 -3 -7 |