Atkin-Lehner |
2- 3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520eg |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-50084267950080 = -1 · 224 · 38 · 5 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9213,-9214] |
[a1,a2,a3,a4,a6] |
Generators |
[226:3690:1] |
Generators of the group modulo torsion |
j |
28962726911/16773120 |
j-invariant |
L |
6.8445606523614 |
L(r)(E,1)/r! |
Ω |
0.37712176862952 |
Real period |
R |
4.537367781959 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001375 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190p1 21840bg1 |
Quadratic twists by: -4 -3 |