Atkin-Lehner |
2+ 3+ 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
80496g |
Isogeny class |
Conductor |
80496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
-166143744 = -1 · 28 · 33 · 13 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 2 2 0 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-159,990] |
[a1,a2,a3,a4,a6] |
Generators |
[10:20:1] |
Generators of the group modulo torsion |
j |
-64314864/24037 |
j-invariant |
L |
8.7981786601696 |
L(r)(E,1)/r! |
Ω |
1.7058522327048 |
Real period |
R |
2.5788220374844 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993037 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40248s1 80496h1 |
Quadratic twists by: -4 -3 |