Atkin-Lehner |
37+ |
Signs for the Atkin-Lehner involutions |
Class |
1369b |
Isogeny class |
Conductor |
1369 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-3512479453921 = -1 · 378 |
Discriminant |
Eigenvalues |
1 0 1 2 -2 -2 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2276219,-1321241558] |
[a1,a2,a3,a4,a6] |
Generators |
[6365617921728615567057774098000796:90485547485451381407629665671951171:3455449484973588567971312147648] |
Generators of the group modulo torsion |
j |
-371323264041 |
j-invariant |
L |
3.3668281888319 |
L(r)(E,1)/r! |
Ω |
0.061456247517359 |
Real period |
R |
54.784148477027 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21904e2 87616b2 12321e2 34225e2 |
Quadratic twists by: -4 8 -3 5 |