Atkin-Lehner |
2- 7- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
994f |
Isogeny class |
Conductor |
994 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3952144 = 24 · 72 · 712 |
Discriminant |
Eigenvalues |
2- 0 -2 7- -4 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-96,371] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:25:1] |
Generators of the group modulo torsion |
j |
96892315857/3952144 |
j-invariant |
L |
3.0834509733287 |
L(r)(E,1)/r! |
Ω |
2.4540446204528 |
Real period |
R |
1.2564771429298 |
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 |
7952d2 31808g2 8946k2 24850a2 |
Quadratic twists by: -4 8 -3 5 |