Atkin-Lehner |
2- 3- 11- 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31746bm |
Isogeny class |
Conductor |
31746 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
203040 |
Modular degree for the optimal curve |
Δ |
-215070032612292 = -1 · 22 · 3 · 115 · 133 · 373 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 11- 13+ -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-105587,13215813] |
[a1,a2,a3,a4,a6] |
j |
-130183313443675661233/215070032612292 |
j-invariant |
L |
5.6118496783836 |
L(r)(E,1)/r! |
Ω |
0.56118496783812 |
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 |
95238l1 |
Quadratic twists by: -3 |