Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840ch |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-6842657621135831040 = -1 · 212 · 324 · 5 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,327600,103215060] |
[a1,a2,a3,a4,a6] |
Generators |
[-117:7956:1] |
Generators of the group modulo torsion |
j |
949279533867428399/1670570708285115 |
j-invariant |
L |
6.46887389672 |
L(r)(E,1)/r! |
Ω |
0.16225281033751 |
Real period |
R |
3.322425193162 |
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 |
1365b6 87360dy5 65520cu5 109200dt5 |
Quadratic twists by: -4 8 -3 5 |