Atkin-Lehner |
2- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
114400w |
Isogeny class |
Conductor |
114400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
314600000000 = 29 · 58 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 2 5+ 0 11+ 13- -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3008,-56488] |
[a1,a2,a3,a4,a6] |
Generators |
[697914:6605875:5832] |
Generators of the group modulo torsion |
j |
376367048/39325 |
j-invariant |
L |
10.876900982784 |
L(r)(E,1)/r! |
Ω |
0.64899466824797 |
Real period |
R |
8.379807634765 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000028475 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114400ba2 22880b2 |
Quadratic twists by: -4 5 |