Atkin-Lehner |
2- 3+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
88218bm |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
7787520 |
Modular degree for the optimal curve |
Δ |
-1.1564864199228E+20 |
Discriminant |
Eigenvalues |
2- 3+ -4 5 -3 13+ 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1006363,-341881315] |
[a1,a2,a3,a4,a6] |
j |
5117731739757/5250854144 |
j-invariant |
L |
4.8707733275933 |
L(r)(E,1)/r! |
Ω |
0.1014744448593 |
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 |
88218k1 88218f1 |
Quadratic twists by: -3 13 |