Atkin-Lehner |
2- 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33810ct |
Isogeny class |
Conductor |
33810 |
Conductor |
∏ cp |
972 |
Product of Tamagawa factors cp |
deg |
3084480 |
Modular degree for the optimal curve |
Δ |
-4.1887582876584E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-9681911,-15213228759] |
[a1,a2,a3,a4,a6] |
j |
-17410957409801706289/7266093465600000 |
j-invariant |
L |
4.5291553164853 |
L(r)(E,1)/r! |
Ω |
0.041936623300844 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
101430bt1 33810cm1 |
Quadratic twists by: -3 -7 |