Atkin-Lehner |
2+ 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
91728bg |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-11131756376832 = -1 · 28 · 37 · 76 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -2 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5145,74774] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:196:1] [25:468:1] |
Generators of the group modulo torsion |
j |
686000/507 |
j-invariant |
L |
11.249703749619 |
L(r)(E,1)/r! |
Ω |
0.45824172012069 |
Real period |
R |
1.5343572037978 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45864bm2 30576h2 1872d2 |
Quadratic twists by: -4 -3 -7 |