Atkin-Lehner |
2+ 3- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
79296z |
Isogeny class |
Conductor |
79296 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28160 |
Modular degree for the optimal curve |
Δ |
-121798656 = -1 · 215 · 32 · 7 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -3 7- 0 -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-257,-1761] |
[a1,a2,a3,a4,a6] |
Generators |
[19:24:1] |
Generators of the group modulo torsion |
j |
-57512456/3717 |
j-invariant |
L |
5.9291959951762 |
L(r)(E,1)/r! |
Ω |
0.59378114166384 |
Real period |
R |
1.2481863223896 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999983719 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79296d1 39648j1 |
Quadratic twists by: -4 8 |