Atkin-Lehner |
2+ 3- 7- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
119616o |
Isogeny class |
Conductor |
119616 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
deg |
626688 |
Modular degree for the optimal curve |
Δ |
-4252840599748608 = -1 · 218 · 312 · 73 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,25151,2744735] |
[a1,a2,a3,a4,a6] |
Generators |
[77:2268:1] |
Generators of the group modulo torsion |
j |
6711696261647/16223299407 |
j-invariant |
L |
6.9840129115356 |
L(r)(E,1)/r! |
Ω |
0.30533501026783 |
Real period |
R |
0.63536886717168 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999521674 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119616r1 1869b1 |
Quadratic twists by: -4 8 |