Atkin-Lehner |
2- 3+ 7- 11- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
41118p |
Isogeny class |
Conductor |
41118 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
-656369531338752 = -1 · 214 · 312 · 7 · 112 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 11- -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-342131,-77178319] |
[a1,a2,a3,a4,a6] |
j |
-4428953001929597723569/656369531338752 |
j-invariant |
L |
5.5272054938707 |
L(r)(E,1)/r! |
Ω |
0.098700098102304 |
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 |
123354y1 |
Quadratic twists by: -3 |