Atkin-Lehner |
2+ 3+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66066a |
Isogeny class |
Conductor |
66066 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-202783134730176 = -1 · 26 · 35 · 73 · 113 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 11+ 13+ -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,14144,230080] |
[a1,a2,a3,a4,a6] |
Generators |
[72:1240:1] |
Generators of the group modulo torsion |
j |
235079317888813/152353970496 |
j-invariant |
L |
2.0362483283447 |
L(r)(E,1)/r! |
Ω |
0.35227247188049 |
Real period |
R |
2.890161012406 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001959 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66066bv1 |
Quadratic twists by: -11 |