Atkin-Lehner |
2+ 3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
84150bv |
Isogeny class |
Conductor |
84150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
442368 |
Modular degree for the optimal curve |
Δ |
-382386015000000 = -1 · 26 · 37 · 57 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 11+ 4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1692,-940784] |
[a1,a2,a3,a4,a6] |
Generators |
[189:-2432:1] |
Generators of the group modulo torsion |
j |
-47045881/33570240 |
j-invariant |
L |
3.5485364116267 |
L(r)(E,1)/r! |
Ω |
0.2409128004954 |
Real period |
R |
0.92059668546592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004702 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28050ce1 16830by1 |
Quadratic twists by: -3 5 |