Atkin-Lehner |
2+ 3- 5- 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
66330p |
Isogeny class |
Conductor |
66330 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
-10889180527500000 = -1 · 25 · 36 · 57 · 113 · 672 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11+ 2 7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-197109,34104213] |
[a1,a2,a3,a4,a6] |
Generators |
[277:699:1] |
Generators of the group modulo torsion |
j |
-1161760983451591249/14937147500000 |
j-invariant |
L |
5.0220590956165 |
L(r)(E,1)/r! |
Ω |
0.40614054505191 |
Real period |
R |
0.88323736993037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999889 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7370c1 |
Quadratic twists by: -3 |