Atkin-Lehner |
2- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
33440v |
Isogeny class |
Conductor |
33440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5120 |
Modular degree for the optimal curve |
Δ |
-3678400 = -1 · 26 · 52 · 112 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ -4 11+ -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7,92] |
[a1,a2,a3,a4,a6] |
Generators |
[1:10:1] |
Generators of the group modulo torsion |
j |
592704/57475 |
j-invariant |
L |
3.2029165294604 |
L(r)(E,1)/r! |
Ω |
1.9093782760534 |
Real period |
R |
0.83873284032549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33440f1 66880bl2 |
Quadratic twists by: -4 8 |