Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840cg |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
5.3235E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7398560,7735422708] |
[a1,a2,a3,a4,a6] |
Generators |
[64111:16218750:1] |
Generators of the group modulo torsion |
j |
10934663514379917006241/12996826171875000 |
j-invariant |
L |
7.124386372253 |
L(r)(E,1)/r! |
Ω |
0.19876385436701 |
Real period |
R |
4.480433826199 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2730x5 87360ec6 65520cv6 109200ds6 |
Quadratic twists by: -4 8 -3 5 |