Atkin-Lehner |
2- 3- 5- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33660h |
Isogeny class |
Conductor |
33660 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
5591040 |
Modular degree for the optimal curve |
Δ |
-3.6305391754505E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 11+ 1 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-24687327,-55402576954] |
[a1,a2,a3,a4,a6] |
j |
-8916171784936232672464/1945376358587578125 |
j-invariant |
L |
1.4059465863613 |
L(r)(E,1)/r! |
Ω |
0.033474918722944 |
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 |
11220e1 |
Quadratic twists by: -3 |