Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
7840p |
Isogeny class |
Conductor |
7840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9223681600000000 = -1 · 212 · 58 · 78 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28028,-4961152] |
[a1,a2,a3,a4,a6] |
Generators |
[802:22100:1] |
Generators of the group modulo torsion |
j |
-5053029696/19140625 |
j-invariant |
L |
3.7908623266969 |
L(r)(E,1)/r! |
Ω |
0.16877439581596 |
Real period |
R |
5.6152805471018 |
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 |
7840q4 15680dj1 70560bg2 39200d2 |
Quadratic twists by: -4 8 -3 5 |