Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
7840p |
Isogeny class |
Conductor |
7840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
8681255332467200 = 29 · 52 · 714 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52283,-1037918] |
[a1,a2,a3,a4,a6] |
Generators |
[-8316:120785:64] |
Generators of the group modulo torsion |
j |
262389836808/144120025 |
j-invariant |
L |
3.7908623266969 |
L(r)(E,1)/r! |
Ω |
0.33754879163193 |
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 |
7840q2 15680dj4 70560bg3 39200d3 |
Quadratic twists by: -4 8 -3 5 |