Atkin-Lehner |
2+ 3+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41496l |
Isogeny class |
Conductor |
41496 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
4747789015237632 = 210 · 3 · 7 · 13 · 198 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7- -4 13- 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-49264,-2576420] |
[a1,a2,a3,a4,a6] |
Generators |
[429023:14915958:343] |
Generators of the group modulo torsion |
j |
12912834528345028/4636512710193 |
j-invariant |
L |
3.6676184342266 |
L(r)(E,1)/r! |
Ω |
0.33001011936499 |
Real period |
R |
11.113654457878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82992t3 124488bv3 |
Quadratic twists by: -4 -3 |