Atkin-Lehner |
3- 7+ 37+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
36519g |
Isogeny class |
Conductor |
36519 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
44544 |
Modular degree for the optimal curve |
Δ |
-68129006463 = -1 · 32 · 76 · 372 · 47 |
Discriminant |
Eigenvalues |
1 3- -2 7+ 6 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4222,-106669] |
[a1,a2,a3,a4,a6] |
j |
-8320137867170137/68129006463 |
j-invariant |
L |
2.3679909451375 |
L(r)(E,1)/r! |
Ω |
0.29599886814759 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109557j1 |
Quadratic twists by: -3 |