Atkin-Lehner |
2+ 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150bl |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
358486889062500 = 22 · 38 · 58 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 11+ -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38817,2808841] |
[a1,a2,a3,a4,a6] |
Generators |
[-141:2408:1] [-130:2441:1] |
Generators of the group modulo torsion |
j |
567869252041/31472100 |
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 |
4 |
Number of elements in the torsion subgroup |
Twists |
28050cn2 16830cc2 |
Quadratic twists by: -3 5 |