Atkin-Lehner |
2- 3+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
13632p |
Isogeny class |
Conductor |
13632 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1141748269056 = 223 · 33 · 712 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 -2 0 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-294817,-61515455] |
[a1,a2,a3,a4,a6] |
Generators |
[13183541304:-13723222895245:12167] |
Generators of the group modulo torsion |
j |
10810426566289897/4355424 |
j-invariant |
L |
4.1319328126217 |
L(r)(E,1)/r! |
Ω |
0.20488554144039 |
Real period |
R |
20.167029764879 |
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 |
13632h2 3408h2 40896bs2 |
Quadratic twists by: -4 8 -3 |