Atkin-Lehner |
2- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
16100c |
Isogeny class |
Conductor |
16100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
850176 |
Modular degree for the optimal curve |
Δ |
-2328839843750000 = -1 · 24 · 512 · 72 · 233 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -6 1 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-65820258,205557744637] |
[a1,a2,a3,a4,a6] |
Generators |
[4683:161:1] |
Generators of the group modulo torsion |
j |
-126142795384287538429696/9315359375 |
j-invariant |
L |
3.0007214155064 |
L(r)(E,1)/r! |
Ω |
0.25507341861667 |
Real period |
R |
0.98034565622324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64400bq1 3220c1 112700o1 |
Quadratic twists by: -4 5 -7 |