Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
64080t |
Isogeny class |
Conductor |
64080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
884736 |
Modular degree for the optimal curve |
Δ |
495958087434240000 = 224 · 312 · 54 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -4 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-271443,42602258] |
[a1,a2,a3,a4,a6] |
Generators |
[-169:9146:1] |
Generators of the group modulo torsion |
j |
740750878754641/166095360000 |
j-invariant |
L |
6.4115634131846 |
L(r)(E,1)/r! |
Ω |
0.27752833484618 |
Real period |
R |
5.7755935231513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000422 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8010c1 21360k1 |
Quadratic twists by: -4 -3 |