Atkin-Lehner |
2+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
64856c |
Isogeny class |
Conductor |
64856 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
200640 |
Modular degree for the optimal curve |
Δ |
-27804919172272 = -1 · 24 · 1110 · 67 |
Discriminant |
Eigenvalues |
2+ -2 0 4 11- 0 -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48803,4141234] |
[a1,a2,a3,a4,a6] |
j |
-30976000/67 |
j-invariant |
L |
1.3336637252332 |
L(r)(E,1)/r! |
Ω |
0.66683186199675 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129712l1 64856i1 |
Quadratic twists by: -4 -11 |