Atkin-Lehner |
2+ 3+ 19+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
66576b |
Isogeny class |
Conductor |
66576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1775434920192 = 28 · 36 · 194 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -2 0 -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13020,-563904] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:56:1] |
Generators of the group modulo torsion |
j |
953564457343696/6935292657 |
j-invariant |
L |
2.699326896846 |
L(r)(E,1)/r! |
Ω |
0.44713063406605 |
Real period |
R |
3.0184991718228 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985035 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33288g1 |
Quadratic twists by: -4 |