Atkin-Lehner |
3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
99099cg |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1693440 |
Modular degree for the optimal curve |
Δ |
-14234574160465659 = -1 · 36 · 72 · 119 · 132 |
Discriminant |
Eigenvalues |
-2 3- 3 7- 11- 13- -8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-216711,39252188] |
[a1,a2,a3,a4,a6] |
Generators |
[418:4658:1] |
Generators of the group modulo torsion |
j |
-871531204608/11022011 |
j-invariant |
L |
4.592517328297 |
L(r)(E,1)/r! |
Ω |
0.3972082254979 |
Real period |
R |
0.72262434456379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999795424 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11011s1 9009e1 |
Quadratic twists by: -3 -11 |