Atkin-Lehner |
2+ 3- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
53064j |
Isogeny class |
Conductor |
53064 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
8957277914112 = 210 · 311 · 11 · 672 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- -6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6411,135286] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:576:1] |
Generators of the group modulo torsion |
j |
39036741412/11999097 |
j-invariant |
L |
3.4909267399917 |
L(r)(E,1)/r! |
Ω |
0.67763613039209 |
Real period |
R |
2.5758121382564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000062 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106128l1 17688k1 |
Quadratic twists by: -4 -3 |