Atkin-Lehner |
2+ 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150b |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3.936454907073E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 11+ -2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,581808,-249033034] |
[a1,a2,a3,a4,a6] |
Generators |
[21493879:-2745034702:1331] |
Generators of the group modulo torsion |
j |
70819203762117/127995282250 |
j-invariant |
L |
5.5296951456854 |
L(r)(E,1)/r! |
Ω |
0.10715943781353 |
Real period |
R |
12.900625602988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999953874 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84150el2 16830bk4 |
Quadratic twists by: -3 5 |