Atkin-Lehner |
2+ 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
65296h |
Isogeny class |
Conductor |
65296 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
-856574867456 = -1 · 211 · 72 · 115 · 53 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 11- 5 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1728,34336] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:154:1] |
Generators of the group modulo torsion |
j |
278466926974/418249447 |
j-invariant |
L |
4.6706832505088 |
L(r)(E,1)/r! |
Ω |
0.60421581191975 |
Real period |
R |
0.38650786345331 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999813 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32648e1 |
Quadratic twists by: -4 |