Atkin-Lehner |
2- 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99008ce |
Isogeny class |
Conductor |
99008 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
236544 |
Modular degree for the optimal curve |
Δ |
-122340532600832 = -1 · 214 · 7 · 137 · 17 |
Discriminant |
Eigenvalues |
2- 1 2 7+ 3 13- 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17297,-1030417] |
[a1,a2,a3,a4,a6] |
Generators |
[317:5044:1] |
Generators of the group modulo torsion |
j |
-34933430581072/7467073523 |
j-invariant |
L |
8.9002398509487 |
L(r)(E,1)/r! |
Ω |
0.20579488006467 |
Real period |
R |
3.0891507915561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000020055 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99008bg1 24752b1 |
Quadratic twists by: -4 8 |