Atkin-Lehner |
2+ 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840g |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
17171481600 = 210 · 34 · 52 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1240,16000] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:180:1] |
Generators of the group modulo torsion |
j |
206081497444/16769025 |
j-invariant |
L |
4.5137726711758 |
L(r)(E,1)/r! |
Ω |
1.2036603445501 |
Real period |
R |
0.93750963293201 |
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 |
10920u2 87360ft2 65520p2 109200bt2 |
Quadratic twists by: -4 8 -3 5 |