Atkin-Lehner |
2+ 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
6840g |
Isogeny class |
Conductor |
6840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.151101206E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 -2 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-661683,-127564882] |
[a1,a2,a3,a4,a6] |
Generators |
[58658:4990977:8] |
Generators of the group modulo torsion |
j |
21459330184836962/7710029296875 |
j-invariant |
L |
4.0343263547225 |
L(r)(E,1)/r! |
Ω |
0.17238895311848 |
Real period |
R |
5.8506161238039 |
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 |
13680i2 54720br2 2280f2 34200cn2 |
Quadratic twists by: -4 8 -3 5 |