Atkin-Lehner |
7+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
24563f |
Isogeny class |
Conductor |
24563 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
Δ |
-254357261435123 = -1 · 7 · 116 · 295 |
Discriminant |
Eigenvalues |
2 -1 -4 7+ 11- -4 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-260190,51176487] |
[a1,a2,a3,a4,a6] |
Generators |
[2474:3505:8] |
Generators of the group modulo torsion |
j |
-1099616058781696/143578043 |
j-invariant |
L |
4.6952782510732 |
L(r)(E,1)/r! |
Ω |
0.53328867571017 |
Real period |
R |
0.88043839386249 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
203a2 |
Quadratic twists by: -11 |