Atkin-Lehner |
3+ 11- 17- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
99297b |
Isogeny class |
Conductor |
99297 |
Conductor |
∏ cp |
14 |
Product of Tamagawa factors cp |
deg |
479136 |
Modular degree for the optimal curve |
Δ |
-384716684753379 = -1 · 39 · 117 · 17 · 59 |
Discriminant |
Eigenvalues |
0 3+ -1 -3 11- 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-279558,-56900455] |
[a1,a2,a3,a4,a6] |
Generators |
[675:7870:1] |
Generators of the group modulo torsion |
j |
-122757544879423488/19545632513 |
j-invariant |
L |
4.628356363787 |
L(r)(E,1)/r! |
Ω |
0.10381196921853 |
Real period |
R |
3.1845738641176 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999974946 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99297a1 |
Quadratic twists by: -3 |