Atkin-Lehner |
2- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
71656g |
Isogeny class |
Conductor |
71656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3405487514624 = 210 · 137 · 53 |
Discriminant |
Eigenvalues |
2- 0 -2 0 -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2484131,-1506988210] |
[a1,a2,a3,a4,a6] |
Generators |
[31260343218:-26809327675:17173512] |
Generators of the group modulo torsion |
j |
342994475602692/689 |
j-invariant |
L |
3.9571634806038 |
L(r)(E,1)/r! |
Ω |
0.12025577211663 |
Real period |
R |
16.453112436767 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002511 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5512b3 |
Quadratic twists by: 13 |