Atkin-Lehner |
2- 13- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
84032s |
Isogeny class |
Conductor |
84032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-2172731392 = -1 · 214 · 13 · 1012 |
Discriminant |
Eigenvalues |
2- 2 2 0 0 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,143,2097] |
[a1,a2,a3,a4,a6] |
Generators |
[1622880:9101213:91125] |
Generators of the group modulo torsion |
j |
19600688/132613 |
j-invariant |
L |
11.709293961768 |
L(r)(E,1)/r! |
Ω |
1.0633751111143 |
Real period |
R |
11.011442568065 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84032i2 21008h2 |
Quadratic twists by: -4 8 |