Atkin-Lehner |
2- 3+ 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400gs |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
-5.747593464E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -4 0 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,761467,-1124998563] |
[a1,a2,a3,a4,a6] |
Generators |
[23012:3493125:1] |
Generators of the group modulo torsion |
j |
190737654201344/2245153696875 |
j-invariant |
L |
3.1113745443485 |
L(r)(E,1)/r! |
Ω |
0.080390904782544 |
Real period |
R |
1.6126277788356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999842995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110400de1 27600ba1 22080co1 |
Quadratic twists by: -4 8 5 |