Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21840br |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-5368323870000 = -1 · 24 · 33 · 54 · 76 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,4139,-42490] |
[a1,a2,a3,a4,a6] |
Generators |
[1382:51450:1] |
Generators of the group modulo torsion |
j |
489987585867776/335520241875 |
j-invariant |
L |
5.1684174829803 |
L(r)(E,1)/r! |
Ω |
0.43235932668115 |
Real period |
R |
1.9923310558426 |
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 |
5460a1 87360fe1 65520dn1 109200eb1 |
Quadratic twists by: -4 8 -3 5 |