Atkin-Lehner |
2+ 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
64064q |
Isogeny class |
Conductor |
64064 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
652940288 = 210 · 73 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 11- 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5013,138293] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:273:1] |
Generators of the group modulo torsion |
j |
13608288256000/637637 |
j-invariant |
L |
10.035211801193 |
L(r)(E,1)/r! |
Ω |
1.5239208235754 |
Real period |
R |
2.195042254541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64064x1 4004b1 |
Quadratic twists by: -4 8 |