Atkin-Lehner |
2+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11552a |
Isogeny class |
Conductor |
11552 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
720 |
Modular degree for the optimal curve |
Δ |
-438976 = -1 · 26 · 193 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 0 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,19,0] |
[a1,a2,a3,a4,a6] |
Generators |
[9:30:1] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
3.7276182651362 |
L(r)(E,1)/r! |
Ω |
1.7761057400603 |
Real period |
R |
2.0987592016957 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11552a1 23104z2 103968bk1 11552n1 |
Quadratic twists by: -4 8 -3 -19 |