Atkin-Lehner |
2- 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84150ew |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
deg |
2064384 |
Modular degree for the optimal curve |
Δ |
-6006936672000000000 = -1 · 214 · 310 · 59 · 11 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 11+ 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,358870,-84100503] |
[a1,a2,a3,a4,a6] |
Generators |
[753:24375:1] |
Generators of the group modulo torsion |
j |
448733772344879/527357952000 |
j-invariant |
L |
12.245053884063 |
L(r)(E,1)/r! |
Ω |
0.1285533043391 |
Real period |
R |
3.4018834076929 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992445 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28050p1 16830s1 |
Quadratic twists by: -3 5 |