Atkin-Lehner |
3- 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99099bm |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
149760 |
Modular degree for the optimal curve |
Δ |
-393717254931 = -1 · 36 · 74 · 113 · 132 |
Discriminant |
Eigenvalues |
2 3- 1 7- 11+ 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,1023,-27437] |
[a1,a2,a3,a4,a6] |
Generators |
[178:633:8] |
Generators of the group modulo torsion |
j |
122023936/405769 |
j-invariant |
L |
15.848614328948 |
L(r)(E,1)/r! |
Ω |
0.48430550362351 |
Real period |
R |
2.0452759414114 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007117 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11011i1 99099o1 |
Quadratic twists by: -3 -11 |