Atkin-Lehner |
3+ 7- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
36309o |
Isogeny class |
Conductor |
36309 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
205097974296033 = 3 · 79 · 13 · 194 |
Discriminant |
Eigenvalues |
-1 3+ 2 7- -4 13- 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-19552,787184] |
[a1,a2,a3,a4,a6] |
j |
7026036894577/1743304017 |
j-invariant |
L |
0.52850616665736 |
L(r)(E,1)/r! |
Ω |
0.52850616662953 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
108927bc1 5187j1 |
Quadratic twists by: -3 -7 |