Atkin-Lehner |
2+ 3- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52632f |
Isogeny class |
Conductor |
52632 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31232 |
Modular degree for the optimal curve |
Δ |
-1637065728 = -1 · 210 · 37 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 -6 3 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-435,3998] |
[a1,a2,a3,a4,a6] |
Generators |
[7:-36:1] |
Generators of the group modulo torsion |
j |
-12194500/2193 |
j-invariant |
L |
4.4127557672388 |
L(r)(E,1)/r! |
Ω |
1.4407401979626 |
Real period |
R |
0.76570983677619 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999175 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105264p1 17544d1 |
Quadratic twists by: -4 -3 |