Atkin-Lehner |
2- 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
99008bw |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
-739300015365184 = -1 · 26 · 72 · 138 · 172 |
Discriminant |
Eigenvalues |
2- 0 2 7+ 0 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9361,-1260880] |
[a1,a2,a3,a4,a6] |
Generators |
[136611440:1059530865:1404928] |
Generators of the group modulo torsion |
j |
1417458895858368/11551562740081 |
j-invariant |
L |
6.649530852509 |
L(r)(E,1)/r! |
Ω |
0.25121456027003 |
Real period |
R |
13.234764005363 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019158 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99008cs1 49504l2 |
Quadratic twists by: -4 8 |