Atkin-Lehner |
2+ 29+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
99238d |
Isogeny class |
Conductor |
99238 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
665280 |
Modular degree for the optimal curve |
Δ |
-60445774570903552 = -1 · 211 · 298 · 59 |
Discriminant |
Eigenvalues |
2+ 0 0 1 -3 -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-146912,-24654848] |
[a1,a2,a3,a4,a6] |
j |
-589534466625/101619712 |
j-invariant |
L |
0.24158293513151 |
L(r)(E,1)/r! |
Ω |
0.12079141994926 |
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 |
3422f1 |
Quadratic twists by: 29 |