Atkin-Lehner |
2- 3+ 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150ef |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
Δ |
-235566144000000000 = -1 · 215 · 39 · 59 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 1 11- 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-192755,-40030253] |
[a1,a2,a3,a4,a6] |
Generators |
[2299:106850:1] |
Generators of the group modulo torsion |
j |
-2575296504243/765952000 |
j-invariant |
L |
11.970012618528 |
L(r)(E,1)/r! |
Ω |
0.11220600364968 |
Real period |
R |
0.88899080166878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001786 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84150d1 16830k2 |
Quadratic twists by: -3 5 |