Atkin-Lehner |
2- 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384dy |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-1.5020994559302E+24 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 11- 4 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25615284,31418372752] |
[a1,a2,a3,a4,a6] |
Generators |
[15218:1986336:1] |
Generators of the group modulo torsion |
j |
9726437216910146543/7860157321308534 |
j-invariant |
L |
9.0794258859561 |
L(r)(E,1)/r! |
Ω |
0.054751932155627 |
Real period |
R |
0.76772412086056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000029036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
120384w2 30096z2 40128bw2 |
Quadratic twists by: -4 8 -3 |