Atkin-Lehner |
2+ 3- 17- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
64872d |
Isogeny class |
Conductor |
64872 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-240620108544 = -1 · 28 · 39 · 17 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 3 2 -3 -1 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-516,-24028] |
[a1,a2,a3,a4,a6] |
Generators |
[38:106:1] |
Generators of the group modulo torsion |
j |
-81415168/1289331 |
j-invariant |
L |
8.3093337122044 |
L(r)(E,1)/r! |
Ω |
0.42428103823667 |
Real period |
R |
1.2240315031453 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129744h1 21624f1 |
Quadratic twists by: -4 -3 |