Atkin-Lehner |
2- 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99008cq |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1695744 |
Modular degree for the optimal curve |
Δ |
804358416717320192 = 212 · 72 · 138 · 173 |
Discriminant |
Eigenvalues |
2- 2 -4 7- -2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-397145,86260121] |
[a1,a2,a3,a4,a6] |
Generators |
[475:2136:1] |
Generators of the group modulo torsion |
j |
1691266923443889856/196376566581377 |
j-invariant |
L |
6.0392218389657 |
L(r)(E,1)/r! |
Ω |
0.27347870607091 |
Real period |
R |
5.5207422913563 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008944 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99008bu1 49504s1 |
Quadratic twists by: -4 8 |