Atkin-Lehner |
2+ 5+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
42160c |
Isogeny class |
Conductor |
42160 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4608 |
Modular degree for the optimal curve |
Δ |
-42160 = -1 · 24 · 5 · 17 · 31 |
Discriminant |
Eigenvalues |
2+ -2 5+ -3 -3 5 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9,4] |
[a1,a2,a3,a4,a6] |
Generators |
[0:2:1] |
Generators of the group modulo torsion |
j |
4499456/2635 |
j-invariant |
L |
2.521900304261 |
L(r)(E,1)/r! |
Ω |
2.1904598101235 |
Real period |
R |
1.1513109223022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21080b1 |
Quadratic twists by: -4 |