Atkin-Lehner |
2- 3+ 7+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
16926y |
Isogeny class |
Conductor |
16926 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-28730801736 = -1 · 23 · 35 · 7 · 133 · 312 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ 1 13+ 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2100,37053] |
[a1,a2,a3,a4,a6] |
Generators |
[27:17:1] |
Generators of the group modulo torsion |
j |
-1024222994222401/28730801736 |
j-invariant |
L |
6.849280223176 |
L(r)(E,1)/r! |
Ω |
1.1768381925357 |
Real period |
R |
0.9700116049115 |
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 |
50778e1 118482cv1 |
Quadratic twists by: -3 -7 |