Atkin-Lehner |
2+ 3- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
65712j |
Isogeny class |
Conductor |
65712 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-34475481025431552 = -1 · 211 · 38 · 376 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,21448,8858292] |
[a1,a2,a3,a4,a6] |
j |
207646/6561 |
j-invariant |
L |
2.2170852127719 |
L(r)(E,1)/r! |
Ω |
0.27713565118084 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32856c5 48a6 |
Quadratic twists by: -4 37 |