Atkin-Lehner |
2+ 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400do |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
4055040 |
Modular degree for the optimal curve |
Δ |
-1.8418033165824E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -2 0 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3204033,2300940063] |
[a1,a2,a3,a4,a6] |
Generators |
[-237:55200:1] |
Generators of the group modulo torsion |
j |
-3552342505518244/179863605135 |
j-invariant |
L |
7.1463557725519 |
L(r)(E,1)/r! |
Ω |
0.17776787868564 |
Real period |
R |
0.33500408136001 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999793237 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400fj1 13800d1 22080c1 |
Quadratic twists by: -4 8 5 |