Atkin-Lehner |
2+ 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
94400v |
Isogeny class |
Conductor |
94400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-483328000000 = -1 · 219 · 56 · 59 |
Discriminant |
Eigenvalues |
2+ 2 5+ 3 1 -3 -7 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6433,-199263] |
[a1,a2,a3,a4,a6] |
j |
-7189057/118 |
j-invariant |
L |
2.1302334341376 |
L(r)(E,1)/r! |
Ω |
0.26627918243412 |
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 |
94400ce1 2950f1 3776i1 |
Quadratic twists by: -4 8 5 |