Atkin-Lehner |
2- 7- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
18788a |
Isogeny class |
Conductor |
18788 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-145033657964577536 = -1 · 28 · 712 · 11 · 612 |
Discriminant |
Eigenvalues |
2- 1 -3 7- 11- 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-135899037,-609824609329] |
[a1,a2,a3,a4,a6] |
Generators |
[51429390:3126168199:3375] |
Generators of the group modulo torsion |
j |
-1084258630708363764462542848/566537726424131 |
j-invariant |
L |
4.7647650990124 |
L(r)(E,1)/r! |
Ω |
0.022108814911434 |
Real period |
R |
8.9797612364488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75152g2 |
Quadratic twists by: -4 |