Atkin-Lehner |
2+ 3- 37+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
41736c |
Isogeny class |
Conductor |
41736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
188312832 = 28 · 32 · 37 · 472 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 4 4 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-244,1232] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:36:1] |
Generators of the group modulo torsion |
j |
6301325392/735597 |
j-invariant |
L |
6.9185411480196 |
L(r)(E,1)/r! |
Ω |
1.7353930623472 |
Real period |
R |
1.9933642983044 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83472b2 125208h2 |
Quadratic twists by: -4 -3 |