Atkin-Lehner |
2- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
10712b |
Isogeny class |
Conductor |
10712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1835951104 = 210 · 132 · 1032 |
Discriminant |
Eigenvalues |
2- 0 -2 0 -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3571,82110] |
[a1,a2,a3,a4,a6] |
Generators |
[323:5712:1] |
Generators of the group modulo torsion |
j |
4918054148388/1792921 |
j-invariant |
L |
3.4330649494842 |
L(r)(E,1)/r! |
Ω |
1.457156168064 |
Real period |
R |
4.7120068867366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
21424d2 85696b2 96408h2 |
Quadratic twists by: -4 8 -3 |