Atkin-Lehner |
2+ 5+ 7+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
64960b |
Isogeny class |
Conductor |
64960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
909440000 = 210 · 54 · 72 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -4 -6 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1928,32552] |
[a1,a2,a3,a4,a6] |
Generators |
[1:175:1] |
Generators of the group modulo torsion |
j |
774006921216/888125 |
j-invariant |
L |
3.1706116172593 |
L(r)(E,1)/r! |
Ω |
1.5684390706108 |
Real period |
R |
1.0107538369267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000152 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64960bg1 8120i1 |
Quadratic twists by: -4 8 |