Atkin-Lehner |
2+ 3+ 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64350q |
Isogeny class |
Conductor |
64350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
30164062500 = 22 · 33 · 59 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 11+ 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-867,-4959] |
[a1,a2,a3,a4,a6] |
j |
1367631/572 |
j-invariant |
L |
1.826164643754 |
L(r)(E,1)/r! |
Ω |
0.91308231584419 |
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 |
64350dg1 64350de1 |
Quadratic twists by: -3 5 |