Atkin-Lehner |
2+ 3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
38064n |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
13056 |
Modular degree for the optimal curve |
Δ |
-102925056 = -1 · 28 · 3 · 133 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 1 5 2 13- -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65,507] |
[a1,a2,a3,a4,a6] |
j |
-120472576/402051 |
j-invariant |
L |
4.9653272875947 |
L(r)(E,1)/r! |
Ω |
1.6551090958795 |
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 |
19032c1 114192n1 |
Quadratic twists by: -4 -3 |