Atkin-Lehner |
2+ 3- 13+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
38064h |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-226126348032 = -1 · 28 · 3 · 136 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 0 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2868,-64356] |
[a1,a2,a3,a4,a6] |
j |
-10194656722000/883306047 |
j-invariant |
L |
1.2983115619091 |
L(r)(E,1)/r! |
Ω |
0.32457789046797 |
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 |
19032k1 114192e1 |
Quadratic twists by: -4 -3 |