Atkin-Lehner |
2+ 5+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
77350c |
Isogeny class |
Conductor |
77350 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5.4926812539953E+20 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 0 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,130050,-1127389000] |
[a1,a2,a3,a4,a6] |
Generators |
[926759382042777:-5960731087175737:917480004813] |
Generators of the group modulo torsion |
j |
15567882240377375/35153160025570132 |
j-invariant |
L |
6.0991590362384 |
L(r)(E,1)/r! |
Ω |
0.076205445473819 |
Real period |
R |
20.008934393322 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000105 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3094i4 |
Quadratic twists by: 5 |