Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
37926l |
Isogeny class |
Conductor |
37926 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
140578036884278028 = 22 · 310 · 712 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-376182,-86861160] |
[a1,a2,a3,a4,a6] |
Generators |
[-318:888:1] |
Generators of the group modulo torsion |
j |
68644006908625/1639085868 |
j-invariant |
L |
4.8421086706766 |
L(r)(E,1)/r! |
Ω |
0.19305534429886 |
Real period |
R |
3.1351817067418 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12642bg2 5418g2 |
Quadratic twists by: -3 -7 |