Atkin-Lehner |
2- 3- 17+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
64872h |
Isogeny class |
Conductor |
64872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
68951281104 = 24 · 314 · 17 · 53 |
Discriminant |
Eigenvalues |
2- 3- -2 0 -4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2946,-60235] |
[a1,a2,a3,a4,a6] |
Generators |
[-34:25:1] |
Generators of the group modulo torsion |
j |
242423339008/5911461 |
j-invariant |
L |
3.8213273473321 |
L(r)(E,1)/r! |
Ω |
0.64898823499141 |
Real period |
R |
2.9440651928641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002353 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129744b1 21624b1 |
Quadratic twists by: -4 -3 |