Atkin-Lehner |
3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
99099cc |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
29568 |
Modular degree for the optimal curve |
Δ |
56189133 = 36 · 72 · 112 · 13 |
Discriminant |
Eigenvalues |
-1 3- 2 7- 11- 13- 1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-254,1576] |
[a1,a2,a3,a4,a6] |
Generators |
[8:-1:1] |
Generators of the group modulo torsion |
j |
20469537/637 |
j-invariant |
L |
4.5053875865769 |
L(r)(E,1)/r! |
Ω |
1.9750707964796 |
Real period |
R |
1.1405635633094 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000034924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11011q1 99099s1 |
Quadratic twists by: -3 -11 |