Atkin-Lehner |
2- 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150ev |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2072054218781250 = -1 · 2 · 38 · 56 · 112 · 174 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-42305,-3991053] |
[a1,a2,a3,a4,a6] |
Generators |
[346790:4617147:1000] |
Generators of the group modulo torsion |
j |
-735091890625/181908738 |
j-invariant |
L |
8.2503261135511 |
L(r)(E,1)/r! |
Ω |
0.16430370855042 |
Real period |
R |
6.2767345482934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003129 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28050o2 3366d2 |
Quadratic twists by: -3 5 |