Atkin-Lehner |
2+ 5- 11+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
12760d |
Isogeny class |
Conductor |
12760 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-797500000000 = -1 · 28 · 510 · 11 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 11+ -4 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,660,42688] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:190:1] [-4:200:1] |
Generators of the group modulo torsion |
j |
124010187824/3115234375 |
j-invariant |
L |
4.8364771331308 |
L(r)(E,1)/r! |
Ω |
0.67165968471572 |
Real period |
R |
1.4401570447624 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25520g2 102080h2 114840ba2 63800h2 |
Quadratic twists by: -4 8 -3 5 |