Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33840br |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-863230245120 = -1 · 28 · 315 · 5 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 -4 1 7 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-561423,-161913638] |
[a1,a2,a3,a4,a6] |
Generators |
[8456824505306866:-232596846153692352:6559155588959] |
Generators of the group modulo torsion |
j |
-104864096688707536/4625505 |
j-invariant |
L |
4.5394571476215 |
L(r)(E,1)/r! |
Ω |
0.087206128747674 |
Real period |
R |
26.027168117715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8460f1 11280ba1 |
Quadratic twists by: -4 -3 |