Atkin-Lehner |
3- 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99099s |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
325248 |
Modular degree for the optimal curve |
Δ |
99542476646613 = 36 · 72 · 118 · 13 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 11- 13+ -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-30696,-2005921] |
[a1,a2,a3,a4,a6] |
Generators |
[-18822:17881:216] |
Generators of the group modulo torsion |
j |
20469537/637 |
j-invariant |
L |
8.4567505009398 |
L(r)(E,1)/r! |
Ω |
0.36137308909475 |
Real period |
R |
3.9002860452946 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11011d1 99099cc1 |
Quadratic twists by: -3 -11 |