Atkin-Lehner |
2+ 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
64680s |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
331395680757335040 = 210 · 310 · 5 · 77 · 113 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 11+ 4 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-729136,-238278160] |
[a1,a2,a3,a4,a6] |
Generators |
[-481:1176:1] |
Generators of the group modulo torsion |
j |
355845710666884/2750797665 |
j-invariant |
L |
7.5784886151641 |
L(r)(E,1)/r! |
Ω |
0.16345559714267 |
Real period |
R |
2.3182101891022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360bd1 9240f1 |
Quadratic twists by: -4 -7 |