Atkin-Lehner |
2+ 3- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
120384bw |
Isogeny class |
Conductor |
120384 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-5409224773337088 = -1 · 221 · 310 · 112 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -2 -2 11- 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2004,-3538384] |
[a1,a2,a3,a4,a6] |
Generators |
[310:-5184:1] [280:4356:1] |
Generators of the group modulo torsion |
j |
4657463/28305288 |
j-invariant |
L |
10.186336278287 |
L(r)(E,1)/r! |
Ω |
0.19848125681843 |
Real period |
R |
3.2075875959804 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998049 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
120384cr2 3762n2 40128e2 |
Quadratic twists by: -4 8 -3 |