Atkin-Lehner |
2+ 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
99008q |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-1584128 = -1 · 210 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ -1 -4 7+ 3 13- 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5,-59] |
[a1,a2,a3,a4,a6] |
Generators |
[5:4:1] |
Generators of the group modulo torsion |
j |
-16384/1547 |
j-invariant |
L |
3.1253463257624 |
L(r)(E,1)/r! |
Ω |
1.1820819911157 |
Real period |
R |
1.3219668148111 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999887397 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99008dh1 6188a1 |
Quadratic twists by: -4 8 |