Atkin-Lehner |
3+ 7+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
99099f |
Isogeny class |
Conductor |
99099 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
467648181 = 33 · 7 · 114 · 132 |
Discriminant |
Eigenvalues |
-2 3+ -1 7+ 11- 13+ 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-363,2450] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:28:1] [-11:71:1] |
Generators of the group modulo torsion |
j |
13381632/1183 |
j-invariant |
L |
5.5877054695552 |
L(r)(E,1)/r! |
Ω |
1.6217168966262 |
Real period |
R |
0.28712910587823 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999988627 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99099e1 99099k1 |
Quadratic twists by: -3 -11 |