Atkin-Lehner |
2- 3+ 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840bj |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-2819058278400 = -1 · 213 · 32 · 52 · 76 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- -6 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,504,80496] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:280:1] |
Generators of the group modulo torsion |
j |
3449795831/688246650 |
j-invariant |
L |
3.5786605773406 |
L(r)(E,1)/r! |
Ω |
0.62213147918809 |
Real period |
R |
0.23967740321352 |
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 |
2730l2 87360hl2 65520ej2 109200fu2 |
Quadratic twists by: -4 8 -3 5 |