Atkin-Lehner |
2- 3- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
66924k |
Isogeny class |
Conductor |
66924 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-1198962674148096 = -1 · 28 · 36 · 113 · 136 |
Discriminant |
Eigenvalues |
2- 3- -3 -2 11+ 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-117624,15616276] |
[a1,a2,a3,a4,a6] |
Generators |
[117:1859:1] |
Generators of the group modulo torsion |
j |
-199794688/1331 |
j-invariant |
L |
2.6902561923749 |
L(r)(E,1)/r! |
Ω |
0.48904254600548 |
Real period |
R |
2.7505338896785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7436c2 396c2 |
Quadratic twists by: -3 13 |