Atkin-Lehner |
2+ 3+ 5- 7+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
68880k |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
4744454400 = 28 · 32 · 52 · 72 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-420,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:40:1] |
Generators of the group modulo torsion |
j |
32082281296/18533025 |
j-invariant |
L |
5.5491916957366 |
L(r)(E,1)/r! |
Ω |
1.151861715629 |
Real period |
R |
2.408792488205 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993159 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34440bc2 |
Quadratic twists by: -4 |