Atkin-Lehner |
2- 3- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
38064bd |
Isogeny class |
Conductor |
38064 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
680538868500816 = 24 · 38 · 134 · 613 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -2 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-71097,7164270] |
[a1,a2,a3,a4,a6] |
j |
2484069056663830528/42533679281301 |
j-invariant |
L |
4.0850410241405 |
L(r)(E,1)/r! |
Ω |
0.5106301280203 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9516a1 114192bw1 |
Quadratic twists by: -4 -3 |