Atkin-Lehner |
2+ 3- 71- |
Signs for the Atkin-Lehner involutions |
Class |
13632k |
Isogeny class |
Conductor |
13632 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
8919908352 = 216 · 33 · 712 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 4 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2209,38975] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:213:1] |
Generators of the group modulo torsion |
j |
18198161572/136107 |
j-invariant |
L |
5.7371745084207 |
L(r)(E,1)/r! |
Ω |
1.3081308032733 |
Real period |
R |
1.4619268180381 |
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 |
13632m2 1704b2 40896n2 |
Quadratic twists by: -4 8 -3 |