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 |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
434529562500 = 22 · 37 · 56 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 11+ -4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-44555,-3608553] |
[a1,a2,a3,a4,a6] |
Generators |
[2782:36855:8] |
Generators of the group modulo torsion |
j |
858729462625/38148 |
j-invariant |
L |
8.2503261135511 |
L(r)(E,1)/r! |
Ω |
0.32860741710084 |
Real period |
R |
3.1383672741467 |
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 |
28050o1 3366d1 |
Quadratic twists by: -3 5 |