Atkin-Lehner |
2- 3+ 7+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
28182n |
Isogeny class |
Conductor |
28182 |
Conductor |
∏ cp |
85 |
Product of Tamagawa factors cp |
deg |
204000 |
Modular degree for the optimal curve |
Δ |
-2190319656763392 = -1 · 217 · 35 · 7 · 115 · 61 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 11- 2 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-56102,-5611741] |
[a1,a2,a3,a4,a6] |
Generators |
[449:-7969:1] |
Generators of the group modulo torsion |
j |
-19528065697768018273/2190319656763392 |
j-invariant |
L |
8.4680644603983 |
L(r)(E,1)/r! |
Ω |
0.15413102302192 |
Real period |
R |
0.64636103631922 |
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 |
84546g1 |
Quadratic twists by: -3 |