Atkin-Lehner |
2- 3- 5+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
46350by |
Isogeny class |
Conductor |
46350 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-270313200 = -1 · 24 · 38 · 52 · 103 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 -6 -3 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6215,190127] |
[a1,a2,a3,a4,a6] |
Generators |
[45:-32:1] |
Generators of the group modulo torsion |
j |
-1456511980945/14832 |
j-invariant |
L |
5.7842647156288 |
L(r)(E,1)/r! |
Ω |
1.5748607286871 |
Real period |
R |
0.45910922552216 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15450n1 46350bi1 |
Quadratic twists by: -3 5 |