Atkin-Lehner |
2- 13+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
65728r |
Isogeny class |
Conductor |
65728 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-2843656192 = -1 · 214 · 133 · 79 |
Discriminant |
Eigenvalues |
2- 2 4 -3 -2 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-21,2573] |
[a1,a2,a3,a4,a6] |
Generators |
[98722:896325:17576] |
Generators of the group modulo torsion |
j |
-65536/173563 |
j-invariant |
L |
11.059036910332 |
L(r)(E,1)/r! |
Ω |
1.1501729547465 |
Real period |
R |
9.6151077670699 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997067 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
65728d1 16432l1 |
Quadratic twists by: -4 8 |