Atkin-Lehner |
2- 3+ 5+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
64320bv |
Isogeny class |
Conductor |
64320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
358400 |
Modular degree for the optimal curve |
Δ |
10419840000000000 = 216 · 35 · 510 · 67 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-55041,-745695] |
[a1,a2,a3,a4,a6] |
Generators |
[119545:-3580352:125] |
Generators of the group modulo torsion |
j |
281391269564164/158994140625 |
j-invariant |
L |
5.6825176453894 |
L(r)(E,1)/r! |
Ω |
0.33594035904328 |
Real period |
R |
8.4576287017035 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64320y1 16080i1 |
Quadratic twists by: -4 8 |