Atkin-Lehner |
11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
1573a |
Isogeny class |
Conductor |
1573 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1584 |
Modular degree for the optimal curve |
Δ |
470946461557 = 118 · 133 |
Discriminant |
Eigenvalues |
1 -1 -2 -2 11- 13+ 7 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2301,-27716] |
[a1,a2,a3,a4,a6] |
j |
6289657/2197 |
j-invariant |
L |
0.70902398393983 |
L(r)(E,1)/r! |
Ω |
0.70902398393983 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25168u1 100672bi1 14157m1 39325k1 |
Quadratic twists by: -4 8 -3 5 |