Atkin-Lehner |
2+ 3+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
79296m |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-26643456 = -1 · 210 · 32 · 72 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -6 0 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,51,189] |
[a1,a2,a3,a4,a6] |
Generators |
[4:21:1] |
Generators of the group modulo torsion |
j |
14047232/26019 |
j-invariant |
L |
4.2186807345344 |
L(r)(E,1)/r! |
Ω |
1.4530194047207 |
Real period |
R |
1.4516945598151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79296by1 9912l1 |
Quadratic twists by: -4 8 |