Atkin-Lehner |
2- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
7220c |
Isogeny class |
Conductor |
7220 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
94091762000 = 24 · 53 · 196 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14921,706370] |
[a1,a2,a3,a4,a6] |
Generators |
[-101:1083:1] |
Generators of the group modulo torsion |
j |
488095744/125 |
j-invariant |
L |
5.6247453083079 |
L(r)(E,1)/r! |
Ω |
1.0434585561618 |
Real period |
R |
1.7968275708677 |
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 |
28880y3 115520be3 64980bh3 36100j3 |
Quadratic twists by: -4 8 -3 5 |