Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
40362k |
Isogeny class |
Conductor |
40362 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
-4050407424 = -1 · 212 · 3 · 73 · 312 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- -3 4 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,399,213] |
[a1,a2,a3,a4,a6] |
Generators |
[2:31:1] |
Generators of the group modulo torsion |
j |
7281438503/4214784 |
j-invariant |
L |
4.861499113825 |
L(r)(E,1)/r! |
Ω |
0.8316206248314 |
Real period |
R |
0.97430225767661 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121086bp2 40362p2 |
Quadratic twists by: -3 -31 |