Atkin-Lehner |
2+ 3+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
39072c |
Isogeny class |
Conductor |
39072 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
2795520 |
Modular degree for the optimal curve |
Δ |
-3.5867364856732E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -2 11- -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19448582,34253520900] |
[a1,a2,a3,a4,a6] |
j |
-12711815691958499017454272/560427575886434663451 |
j-invariant |
L |
1.1482382820915 |
L(r)(E,1)/r! |
Ω |
0.11482382821343 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39072n1 78144bf2 117216bb1 |
Quadratic twists by: -4 8 -3 |