Atkin-Lehner |
3+ 11- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
64251d |
Isogeny class |
Conductor |
64251 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
668160 |
Modular degree for the optimal curve |
Δ |
30121053376867497 = 39 · 1110 · 59 |
Discriminant |
Eigenvalues |
-1 3+ 0 -4 11- 6 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-135785,-17320256] |
[a1,a2,a3,a4,a6] |
j |
7940149875/863819 |
j-invariant |
L |
0.50092188741779 |
L(r)(E,1)/r! |
Ω |
0.25046093978175 |
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 |
64251h1 5841c1 |
Quadratic twists by: -3 -11 |