Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91728cn |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
25382095974144 = 28 · 33 · 710 · 13 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 2 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7791,106330] |
[a1,a2,a3,a4,a6] |
Generators |
[-94:90:1] |
Generators of the group modulo torsion |
j |
64314864/31213 |
j-invariant |
L |
5.218465058403 |
L(r)(E,1)/r! |
Ω |
0.5964831233459 |
Real period |
R |
4.3743610325207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999918785 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22932b2 91728cm2 13104bn2 |
Quadratic twists by: -4 -3 -7 |