Atkin-Lehner |
3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99099q |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-117523585179 = -1 · 36 · 7 · 116 · 13 |
Discriminant |
Eigenvalues |
0 3- 3 7+ 11- 13+ -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-7986,275184] |
[a1,a2,a3,a4,a6] |
Generators |
[-88:544:1] |
Generators of the group modulo torsion |
j |
-43614208/91 |
j-invariant |
L |
6.2010301937457 |
L(r)(E,1)/r! |
Ω |
1.0513405298355 |
Real period |
R |
1.4745532074992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999987058 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11011c1 819e1 |
Quadratic twists by: -3 -11 |