Atkin-Lehner |
3- 5+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
4425i |
Isogeny class |
Conductor |
4425 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
672 |
Modular degree for the optimal curve |
Δ |
-3225825 = -1 · 37 · 52 · 59 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 2 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-123,522] |
[a1,a2,a3,a4,a6] |
Generators |
[3:12:1] |
Generators of the group modulo torsion |
j |
-8236063705/129033 |
j-invariant |
L |
2.8739259111735 |
L(r)(E,1)/r! |
Ω |
2.5245522487335 |
Real period |
R |
0.1626271924692 |
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 |
70800t1 13275m1 4425d1 |
Quadratic twists by: -4 -3 5 |