Atkin-Lehner |
3- 5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
108225n |
Isogeny class |
Conductor |
108225 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
3994111265625 = 312 · 56 · 13 · 37 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 0 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-4280,49722] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:375:1] |
Generators of the group modulo torsion |
j |
761048497/350649 |
j-invariant |
L |
4.5946210578374 |
L(r)(E,1)/r! |
Ω |
0.70048024185464 |
Real period |
R |
1.6398110989876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999063652 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
36075c1 4329e1 |
Quadratic twists by: -3 5 |