Atkin-Lehner |
3- 5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
108225m |
Isogeny class |
Conductor |
108225 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
442903004133890625 = 316 · 56 · 13 · 373 |
Discriminant |
Eigenvalues |
1 3- 5+ -2 -4 13+ -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3104892,-2104784109] |
[a1,a2,a3,a4,a6] |
Generators |
[3774:197913:1] |
Generators of the group modulo torsion |
j |
290613464285776633/38883116961 |
j-invariant |
L |
4.5846442218936 |
L(r)(E,1)/r! |
Ω |
0.11373428723298 |
Real period |
R |
3.3591777480351 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999554024 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36075n1 4329f1 |
Quadratic twists by: -3 5 |