Atkin-Lehner |
2+ 3+ 5+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
64890a |
Isogeny class |
Conductor |
64890 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
314496 |
Modular degree for the optimal curve |
Δ |
-434612941875000 = -1 · 23 · 39 · 57 · 73 · 103 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -2 -6 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8085,961181] |
[a1,a2,a3,a4,a6] |
Generators |
[-35:814:1] |
Generators of the group modulo torsion |
j |
2969219313117/22080625000 |
j-invariant |
L |
2.6143668087856 |
L(r)(E,1)/r! |
Ω |
0.38565615393572 |
Real period |
R |
3.3895048507775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64890bu1 |
Quadratic twists by: -3 |