Atkin-Lehner |
2+ 3- 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
22506m |
Isogeny class |
Conductor |
22506 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-463950567168 = -1 · 28 · 3 · 117 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -2 -4 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,1933,1934] |
[a1,a2,a3,a4,a6] |
Generators |
[1173:10480:27] |
Generators of the group modulo torsion |
j |
451217663/261888 |
j-invariant |
L |
2.8785425821879 |
L(r)(E,1)/r! |
Ω |
0.56308560454086 |
Real period |
R |
5.1120869703907 |
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 |
67518bq1 2046i1 |
Quadratic twists by: -3 -11 |