Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840bi |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-26864047042560 = -1 · 212 · 38 · 5 · 7 · 134 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -4 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1576,251056] |
[a1,a2,a3,a4,a6] |
Generators |
[10:486:1] |
Generators of the group modulo torsion |
j |
-105756712489/6558605235 |
j-invariant |
L |
3.7687721567679 |
L(r)(E,1)/r! |
Ω |
0.55176136774943 |
Real period |
R |
1.7076096556652 |
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 |
1365c4 87360hi3 65520ef3 109200ft3 |
Quadratic twists by: -4 8 -3 5 |