Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240ci |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
2.94107480064E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 2 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5628481,4426230719] |
[a1,a2,a3,a4,a6] |
Generators |
[47:64512:1] |
Generators of the group modulo torsion |
j |
75224183150104868881/11219310000000000 |
j-invariant |
L |
6.0529025100527 |
L(r)(E,1)/r! |
Ω |
0.13687430927258 |
Real period |
R |
2.2111170979495 |
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 |
18240h2 4560s2 54720el2 91200fg2 |
Quadratic twists by: -4 8 -3 5 |