Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
85176b |
Isogeny class |
Conductor |
85176 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1634782286592 = -1 · 28 · 33 · 72 · 136 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 6 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1521,57122] |
[a1,a2,a3,a4,a6] |
Generators |
[26:338:1] |
Generators of the group modulo torsion |
j |
11664/49 |
j-invariant |
L |
8.2629001303994 |
L(r)(E,1)/r! |
Ω |
0.60226448428415 |
Real period |
R |
1.7149650069698 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000786 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85176bh2 504e2 |
Quadratic twists by: -3 13 |