Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33840bu |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
215040 |
Modular degree for the optimal curve |
Δ |
-15346315468800000 = -1 · 216 · 313 · 55 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 -6 1 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17643,6028058] |
[a1,a2,a3,a4,a6] |
Generators |
[7:2430:1] |
Generators of the group modulo torsion |
j |
-203401212841/5139450000 |
j-invariant |
L |
5.1296760027015 |
L(r)(E,1)/r! |
Ω |
0.3294650671211 |
Real period |
R |
1.9462139216781 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4230bc1 11280q1 |
Quadratic twists by: -4 -3 |