Atkin-Lehner |
3- 5+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
38955j |
Isogeny class |
Conductor |
38955 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-67398417864369375 = -1 · 3 · 54 · 714 · 53 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,62229,10973976] |
[a1,a2,a3,a4,a6] |
j |
226523624554079/572877099375 |
j-invariant |
L |
1.9445747082109 |
L(r)(E,1)/r! |
Ω |
0.24307183853209 |
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 |
116865bd1 5565c1 |
Quadratic twists by: -3 -7 |