Atkin-Lehner |
2+ 7- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
12586d |
Isogeny class |
Conductor |
12586 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
6505059802304 = 26 · 76 · 29 · 313 |
Discriminant |
Eigenvalues |
2+ -2 -3 7- 0 -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-5195,-75978] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:173:1] [-49:272:1] |
Generators of the group modulo torsion |
j |
15501016885315753/6505059802304 |
j-invariant |
L |
3.1191283049226 |
L(r)(E,1)/r! |
Ω |
0.58377014882511 |
Real period |
R |
0.14841877935848 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999969 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100688v2 113274bs2 88102f2 |
Quadratic twists by: -4 -3 -7 |