Atkin-Lehner |
2- 3+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
99264bl |
Isogeny class |
Conductor |
99264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-2015456256 = -1 · 210 · 34 · 11 · 472 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11+ 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-549,5589] |
[a1,a2,a3,a4,a6] |
Generators |
[9:36:1] |
Generators of the group modulo torsion |
j |
-17903239168/1968219 |
j-invariant |
L |
3.2249013533082 |
L(r)(E,1)/r! |
Ω |
1.4338269944149 |
Real period |
R |
1.1245782635992 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000030843 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99264u1 24816y1 |
Quadratic twists by: -4 8 |