Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22230bf |
Isogeny class |
Conductor |
22230 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
381330659809271250 = 2 · 39 · 54 · 138 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-183128,5253081] |
[a1,a2,a3,a4,a6] |
Generators |
[-25740:249963:64] |
Generators of the group modulo torsion |
j |
931661646976029241/523087324841250 |
j-invariant |
L |
7.8888946161549 |
L(r)(E,1)/r! |
Ω |
0.25987153048893 |
Real period |
R |
7.5892255312774 |
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 |
7410d4 111150bj3 |
Quadratic twists by: -3 5 |