Atkin-Lehner |
2+ 3- 5- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840r |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
Δ |
96589584000000 = 210 · 36 · 56 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11760,127908] |
[a1,a2,a3,a4,a6] |
Generators |
[-54:780:1] |
Generators of the group modulo torsion |
j |
175663952372164/94325765625 |
j-invariant |
L |
6.5957755794213 |
L(r)(E,1)/r! |
Ω |
0.52451748161523 |
Real period |
R |
0.34930387401589 |
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 |
10920f2 87360eg2 65520m2 109200s2 |
Quadratic twists by: -4 8 -3 5 |