Atkin-Lehner |
3- 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
39195c |
Isogeny class |
Conductor |
39195 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
163072 |
Modular degree for the optimal curve |
Δ |
-3080149944910155 = -1 · 37 · 5 · 137 · 672 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 1 13+ 3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2298,2670538] |
[a1,a2,a3,a4,a6] |
j |
-1840968073216/4225171392195 |
j-invariant |
L |
1.4460273481851 |
L(r)(E,1)/r! |
Ω |
0.36150683702858 |
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 |
13065f1 |
Quadratic twists by: -3 |