Atkin-Lehner |
2+ 5- 31- 41- |
Signs for the Atkin-Lehner involutions |
Class |
12710k |
Isogeny class |
Conductor |
12710 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-81423437500 = -1 · 22 · 58 · 31 · 412 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 -6 -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,127,13728] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:108:1] [-11:110:1] |
Generators of the group modulo torsion |
j |
229108583159/81423437500 |
j-invariant |
L |
3.6884337644161 |
L(r)(E,1)/r! |
Ω |
0.84006568171977 |
Real period |
R |
0.54883115759218 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
101680v2 114390bi2 63550z2 |
Quadratic twists by: -4 -3 5 |