Atkin-Lehner |
2- 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840ch |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
768 |
Product of Tamagawa factors cp |
Δ |
76159573365657600 = 212 · 312 · 52 · 72 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-145600,16714100] |
[a1,a2,a3,a4,a6] |
Generators |
[-325:5460:1] |
Generators of the group modulo torsion |
j |
83339496416030401/18593645841225 |
j-invariant |
L |
6.46887389672 |
L(r)(E,1)/r! |
Ω |
0.32450562067501 |
Real period |
R |
1.661212596581 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
8 |
Number of elements in the torsion subgroup |
Twists |
1365b3 87360dy3 65520cu3 109200dt3 |
Quadratic twists by: -4 8 -3 5 |