Atkin-Lehner |
2- 3- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
64728l |
Isogeny class |
Conductor |
64728 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
54359092224 = 210 · 310 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3- 1 4 -6 0 -1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27147,1721558] |
[a1,a2,a3,a4,a6] |
Generators |
[94:18:1] |
Generators of the group modulo torsion |
j |
2963887778596/72819 |
j-invariant |
L |
7.2484523544321 |
L(r)(E,1)/r! |
Ω |
1.0372128840261 |
Real period |
R |
1.7470985140672 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000854 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129456i1 21576b1 |
Quadratic twists by: -4 -3 |