Atkin-Lehner |
2- 3+ 7- 17- 19- |
Signs for the Atkin-Lehner involutions |
Class |
81396b |
Isogeny class |
Conductor |
81396 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
55972999966464 = 28 · 39 · 7 · 174 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 2 17- 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-16551,-736290] |
[a1,a2,a3,a4,a6] |
Generators |
[-81:270:1] |
Generators of the group modulo torsion |
j |
99509643504/11108293 |
j-invariant |
L |
5.015578767088 |
L(r)(E,1)/r! |
Ω |
0.42396782125222 |
Real period |
R |
1.9716821715475 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81396a2 |
Quadratic twists by: -3 |