Atkin-Lehner |
2- 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
33282w |
Isogeny class |
Conductor |
33282 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-75350104474378752 = -1 · 29 · 316 · 434 |
Discriminant |
Eigenvalues |
2- 3- 2 4 5 -6 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-33629,-13410075] |
[a1,a2,a3,a4,a6] |
Generators |
[995:30120:1] |
Generators of the group modulo torsion |
j |
-1687532377/30233088 |
j-invariant |
L |
11.370582930478 |
L(r)(E,1)/r! |
Ω |
0.14820869369651 |
Real period |
R |
2.131113350836 |
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 |
11094b1 33282n1 |
Quadratic twists by: -3 -43 |