Atkin-Lehner |
2+ 13- 101- |
Signs for the Atkin-Lehner involutions |
Class |
84032j |
Isogeny class |
Conductor |
84032 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
7987326304256 = 214 · 136 · 101 |
Discriminant |
Eigenvalues |
2+ 0 2 2 -6 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5084,-31280] |
[a1,a2,a3,a4,a6] |
Generators |
[2064:4420:27] |
Generators of the group modulo torsion |
j |
886993420752/487507709 |
j-invariant |
L |
7.363429210284 |
L(r)(E,1)/r! |
Ω |
0.60456198286983 |
Real period |
R |
4.0599251563378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002482 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84032t2 10504a2 |
Quadratic twists by: -4 8 |