Atkin-Lehner |
2+ 3+ 7- 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
67158i |
Isogeny class |
Conductor |
67158 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
78992655827904 = 26 · 39 · 76 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- -3 13- -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-75831,-8007139] |
[a1,a2,a3,a4,a6] |
Generators |
[-161:175:1] [-154:105:1] |
Generators of the group modulo torsion |
j |
2450055885253731/4013242688 |
j-invariant |
L |
6.605752199563 |
L(r)(E,1)/r! |
Ω |
0.28772680139025 |
Real period |
R |
0.95660075339401 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67158bh1 |
Quadratic twists by: -3 |