Atkin-Lehner |
2- 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
37440em |
Isogeny class |
Conductor |
37440 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
235440777461760 = 219 · 312 · 5 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -4 13- -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-26508,-1488112] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:351:1] [-94:416:1] |
Generators of the group modulo torsion |
j |
10779215329/1232010 |
j-invariant |
L |
7.8312320810293 |
L(r)(E,1)/r! |
Ω |
0.37694328428001 |
Real period |
R |
2.5969530455977 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37440bs2 9360bw2 12480ch2 |
Quadratic twists by: -4 8 -3 |