Atkin-Lehner |
2- 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11400bh |
Isogeny class |
Conductor |
11400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1140000000000 = 211 · 3 · 510 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-61008,5779488] |
[a1,a2,a3,a4,a6] |
Generators |
[5313:32318:27] |
Generators of the group modulo torsion |
j |
784767874322/35625 |
j-invariant |
L |
5.65933599366 |
L(r)(E,1)/r! |
Ω |
0.81744985417587 |
Real period |
R |
6.9231598302327 |
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 |
22800h4 91200y4 34200q4 2280a4 |
Quadratic twists by: -4 8 -3 5 |