Atkin-Lehner |
2- 3+ 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
110400gx |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-1527892875000000 = -1 · 26 · 312 · 59 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 4 -4 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-548083,-156005963] |
[a1,a2,a3,a4,a6] |
Generators |
[5957464629824:399589726186125:1287913472] |
Generators of the group modulo torsion |
j |
-145664420880896/12223143 |
j-invariant |
L |
5.8962228123725 |
L(r)(E,1)/r! |
Ω |
0.08773153409405 |
Real period |
R |
16.801891341748 |
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 |
110400jl1 55200cp1 110400jk1 |
Quadratic twists by: -4 8 5 |