Atkin-Lehner |
2- 3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
64680cq |
Isogeny class |
Conductor |
64680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-116472510000 = -1 · 24 · 32 · 54 · 76 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1209,-2430] |
[a1,a2,a3,a4,a6] |
Generators |
[11:111:1] [27:225:1] |
Generators of the group modulo torsion |
j |
103737344/61875 |
j-invariant |
L |
11.353072762338 |
L(r)(E,1)/r! |
Ω |
0.61320469071383 |
Real period |
R |
4.6285819948375 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999879 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360bb1 1320i1 |
Quadratic twists by: -4 -7 |