Atkin-Lehner |
2+ 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12870q |
Isogeny class |
Conductor |
12870 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1623407256900 = 22 · 38 · 52 · 114 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11- 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3915,72625] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:409:1] [-40:425:1] |
Generators of the group modulo torsion |
j |
9104453457841/2226896100 |
j-invariant |
L |
4.4213815970489 |
L(r)(E,1)/r! |
Ω |
0.79159292245694 |
Real period |
R |
0.69817791942327 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
102960dk2 4290v2 64350ek2 |
Quadratic twists by: -4 -3 5 |