Atkin-Lehner |
2- 3- 5+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
22230bg |
Isogeny class |
Conductor |
22230 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
291804155721000000 = 26 · 314 · 56 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-483098,-126480103] |
[a1,a2,a3,a4,a6] |
Generators |
[1287:36535:1] |
Generators of the group modulo torsion |
j |
17104132791725468761/400280049000000 |
j-invariant |
L |
7.7402959167417 |
L(r)(E,1)/r! |
Ω |
0.1813467892692 |
Real period |
R |
3.5568573467874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
7410l2 111150bi2 |
Quadratic twists by: -3 5 |