Atkin-Lehner |
2- 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
33282y |
Isogeny class |
Conductor |
33282 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
433440 |
Modular degree for the optimal curve |
Δ |
136331168037938064 = 24 · 36 · 438 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 0 -1 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-283244,-55164193] |
[a1,a2,a3,a4,a6] |
Generators |
[-6927:23789:27] |
Generators of the group modulo torsion |
j |
294937/16 |
j-invariant |
L |
5.9719387789745 |
L(r)(E,1)/r! |
Ω |
0.20764635241911 |
Real period |
R |
2.3966785793088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3698a1 33282o1 |
Quadratic twists by: -3 -43 |