Atkin-Lehner |
2+ 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
38440b |
Isogeny class |
Conductor |
38440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1013760 |
Modular degree for the optimal curve |
Δ |
-3.439076763875E+20 |
Discriminant |
Eigenvalues |
2+ 1 5+ 0 0 2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6920481,7061598275] |
[a1,a2,a3,a4,a6] |
j |
-161332732109824/1513671875 |
j-invariant |
L |
1.3720724397614 |
L(r)(E,1)/r! |
Ω |
0.17150905497408 |
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 |
76880c1 1240a1 |
Quadratic twists by: -4 -31 |