Atkin-Lehner |
2- 3- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
64680cz |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
143360 |
Modular degree for the optimal curve |
Δ |
5113609079040 = 28 · 32 · 5 · 79 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11- -4 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4916,74304] |
[a1,a2,a3,a4,a6] |
Generators |
[10:162:1] |
Generators of the group modulo torsion |
j |
1272112/495 |
j-invariant |
L |
7.8198385865143 |
L(r)(E,1)/r! |
Ω |
0.69786034221116 |
Real period |
R |
2.8013622906104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999211 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360q1 64680cd1 |
Quadratic twists by: -4 -7 |