Atkin-Lehner |
2+ 3- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
33282h |
Isogeny class |
Conductor |
33282 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1387008 |
Modular degree for the optimal curve |
Δ |
-4.4723439674846E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 5 0 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2072151,1534598149] |
[a1,a2,a3,a4,a6] |
j |
-115481617/52488 |
j-invariant |
L |
2.4974437063852 |
L(r)(E,1)/r! |
Ω |
0.15609023164911 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11094m1 33282bd1 |
Quadratic twists by: -3 -43 |