Atkin-Lehner |
2- 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
33282s |
Isogeny class |
Conductor |
33282 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
8173440 |
Modular degree for the optimal curve |
Δ |
-2.5932674841321E+24 |
Discriminant |
Eigenvalues |
2- 3+ -3 3 5 -3 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,30724486,-41312459591] |
[a1,a2,a3,a4,a6] |
j |
324242703/262144 |
j-invariant |
L |
3.2393073434281 |
L(r)(E,1)/r! |
Ω |
0.04499037976978 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33282c1 33282d1 |
Quadratic twists by: -3 -43 |