Atkin-Lehner |
2+ 3+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
22542a |
Isogeny class |
Conductor |
22542 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
29381890341492 = 22 · 34 · 13 · 178 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 2 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-81070,8847088] |
[a1,a2,a3,a4,a6] |
Generators |
[171:59:1] |
Generators of the group modulo torsion |
j |
2441288319625/1217268 |
j-invariant |
L |
3.4067037220256 |
L(r)(E,1)/r! |
Ω |
0.65345543049143 |
Real period |
R |
1.3033420349203 |
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 |
67626t2 1326c2 |
Quadratic twists by: -3 17 |