Atkin-Lehner |
2- 3- 5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
68880cj |
Isogeny class |
Conductor |
68880 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
17489956700160000 = 222 · 34 · 54 · 72 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65856,-1374156] |
[a1,a2,a3,a4,a6] |
Generators |
[-84:1890:1] |
Generators of the group modulo torsion |
j |
7711811489971009/4270008960000 |
j-invariant |
L |
7.3237225787876 |
L(r)(E,1)/r! |
Ω |
0.31924432279214 |
Real period |
R |
2.867600946771 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000639 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
8610j2 |
Quadratic twists by: -4 |