Atkin-Lehner |
2+ 3+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
65472i |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3238976633942016 = -1 · 212 · 34 · 11 · 316 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 11- -4 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34969,-3707591] |
[a1,a2,a3,a4,a6] |
j |
-1154584765381312/790765779771 |
j-invariant |
L |
0.33881630130476 |
L(r)(E,1)/r! |
Ω |
0.16940814637126 |
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 |
65472v2 32736c1 |
Quadratic twists by: -4 8 |