Atkin-Lehner |
2+ 11- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
115258i |
Isogeny class |
Conductor |
115258 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8580096 |
Modular degree for the optimal curve |
Δ |
-3825446580533067776 = -1 · 219 · 112 · 137 · 312 |
Discriminant |
Eigenvalues |
2+ -3 1 3 11- 13+ -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6066709,5753743477] |
[a1,a2,a3,a4,a6] |
Generators |
[1843:27893:1] |
Generators of the group modulo torsion |
j |
-5115912758587353969/792541528064 |
j-invariant |
L |
3.1378205063959 |
L(r)(E,1)/r! |
Ω |
0.24006952939375 |
Real period |
R |
0.81690408681041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000100418 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8866i1 |
Quadratic twists by: 13 |