Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
50960by |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
12042860350976000 = 212 · 53 · 77 · 134 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3661427,-2696639246] |
[a1,a2,a3,a4,a6] |
Generators |
[2863:101430:1] |
Generators of the group modulo torsion |
j |
11264882429818809/24990875 |
j-invariant |
L |
5.9904384411788 |
L(r)(E,1)/r! |
Ω |
0.10914077102772 |
Real period |
R |
4.5739387648526 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000004 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3185h3 7280q3 |
Quadratic twists by: -4 -7 |