Atkin-Lehner |
2+ 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150bl |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
85052771718750 = 2 · 37 · 57 · 114 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-612567,184687591] |
[a1,a2,a3,a4,a6] |
Generators |
[-901:2588:1] [-1:13613:1] |
Generators of the group modulo torsion |
j |
2231707882611241/7466910 |
j-invariant |
L |
7.1917873691094 |
L(r)(E,1)/r! |
Ω |
0.53004424033042 |
Real period |
R |
1.696034694315 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000183 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28050cn4 16830cc4 |
Quadratic twists by: -3 5 |