Atkin-Lehner |
2+ 3+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
28314h |
Isogeny class |
Conductor |
28314 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-308182905778176 = -1 · 212 · 33 · 118 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ -2 2 11- 13- -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4152,-839360] |
[a1,a2,a3,a4,a6] |
Generators |
[201:2743:1] |
Generators of the group modulo torsion |
j |
165469149/6443008 |
j-invariant |
L |
3.3348387505096 |
L(r)(E,1)/r! |
Ω |
0.26175697736392 |
Real period |
R |
3.185052394872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28314bh1 2574s1 |
Quadratic twists by: -3 -11 |