Atkin-Lehner |
2+ 7- 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99008bg |
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 |
[-57:1352:1] |
Generators of the group modulo torsion |
j |
-34933430581072/7467073523 |
j-invariant |
L |
6.5596949673114 |
L(r)(E,1)/r! |
Ω |
0.5628095428449 |
Real period |
R |
0.83251900558265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999910486 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99008ce1 12376b1 |
Quadratic twists by: -4 8 |