Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150ce |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-71506184805000000 = -1 · 26 · 37 · 57 · 113 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- 1 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,95058,-6210284] |
[a1,a2,a3,a4,a6] |
Generators |
[404:9698:1] |
Generators of the group modulo torsion |
j |
8339492177639/6277634880 |
j-invariant |
L |
4.8647223425516 |
L(r)(E,1)/r! |
Ω |
0.1934532985546 |
Real period |
R |
1.0477813818458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999896804 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28050cb2 16830cg2 |
Quadratic twists by: -3 5 |