Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91728el |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6.7956680508094E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13805211,-19738994870] |
[a1,a2,a3,a4,a6] |
Generators |
[-2121:490:1] [34482:231035:8] |
Generators of the group modulo torsion |
j |
828279937799497/193444524 |
j-invariant |
L |
9.4578392186919 |
L(r)(E,1)/r! |
Ω |
0.078324003677331 |
Real period |
R |
30.188188725691 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999996192 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11466cb3 30576co4 13104ck3 |
Quadratic twists by: -4 -3 -7 |