Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
18240bl |
Isogeny class |
Conductor |
18240 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
31912704000000 = 214 · 38 · 56 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13905,564975] |
[a1,a2,a3,a4,a6] |
Generators |
[135:-1080:1] |
Generators of the group modulo torsion |
j |
18148802937424/1947796875 |
j-invariant |
L |
5.751851020373 |
L(r)(E,1)/r! |
Ω |
0.63791100479792 |
Real period |
R |
0.18784787954718 |
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 |
18240cf2 1140a2 54720v2 91200e2 |
Quadratic twists by: -4 8 -3 5 |