Atkin-Lehner |
2+ 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728f |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
74000279808 = 28 · 33 · 77 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-71295,7327166] |
[a1,a2,a3,a4,a6] |
Generators |
[142:258:1] |
Generators of the group modulo torsion |
j |
49284342000/91 |
j-invariant |
L |
5.9803718195005 |
L(r)(E,1)/r! |
Ω |
0.93511986401854 |
Real period |
R |
3.1976498657938 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006923 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45864ba2 91728e2 13104a2 |
Quadratic twists by: -4 -3 -7 |