Atkin-Lehner |
2+ 7- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99008z |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
39936 |
Modular degree for the optimal curve |
Δ |
-7325007872 = -1 · 214 · 7 · 13 · 173 |
Discriminant |
Eigenvalues |
2+ 1 2 7- 1 13+ 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-497,-6097] |
[a1,a2,a3,a4,a6] |
Generators |
[939:3808:27] |
Generators of the group modulo torsion |
j |
-830321872/447083 |
j-invariant |
L |
10.374604520233 |
L(r)(E,1)/r! |
Ω |
0.4930733992325 |
Real period |
R |
3.506781664009 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999880461 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99008by1 12376p1 |
Quadratic twists by: -4 8 |