Atkin-Lehner |
2+ 3+ 5+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
83850a |
Isogeny class |
Conductor |
83850 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5475929062500000 = -1 · 25 · 36 · 510 · 13 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -6 13+ 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,40350,1732500] |
[a1,a2,a3,a4,a6] |
Generators |
[115:2755:1] |
Generators of the group modulo torsion |
j |
464962026758111/350459460000 |
j-invariant |
L |
2.6790785387891 |
L(r)(E,1)/r! |
Ω |
0.27409355820027 |
Real period |
R |
2.4435803577087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955897 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16770bd2 |
Quadratic twists by: 5 |