Atkin-Lehner |
2+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
338f |
Isogeny class |
Conductor |
338 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-605750213184506 = -1 · 2 · 1313 |
Discriminant |
Eigenvalues |
2+ -3 1 -1 2 13+ -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-35944,-2868878] |
[a1,a2,a3,a4,a6] |
Generators |
[10839:180227:27] |
Generators of the group modulo torsion |
j |
-1064019559329/125497034 |
j-invariant |
L |
0.95305624304778 |
L(r)(E,1)/r! |
Ω |
0.17222480062196 |
Real period |
R |
1.3834480278188 |
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 |
2704j2 10816p2 3042k2 8450t2 |
Quadratic twists by: -4 8 -3 5 |