Atkin-Lehner |
2+ 7- 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
33418k |
Isogeny class |
Conductor |
33418 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-741584053346752 = -1 · 26 · 77 · 114 · 312 |
Discriminant |
Eigenvalues |
2+ -2 4 7- 11+ 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-8944,-1350786] |
[a1,a2,a3,a4,a6] |
j |
-672451615081/6303360448 |
j-invariant |
L |
0.85755446954266 |
L(r)(E,1)/r! |
Ω |
0.21438861738639 |
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 |
4774b1 |
Quadratic twists by: -7 |