Atkin-Lehner |
2- 7- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
68614w |
Isogeny class |
Conductor |
68614 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
Δ |
526982665894048 = 25 · 76 · 136 · 29 |
Discriminant |
Eigenvalues |
2- 0 0 7- 4 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-835230,294010253] |
[a1,a2,a3,a4,a6] |
Generators |
[231:10531:1] |
Generators of the group modulo torsion |
j |
13350003080765625/109178272 |
j-invariant |
L |
9.9865092468749 |
L(r)(E,1)/r! |
Ω |
0.46804751500868 |
Real period |
R |
1.4224352478979 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001286 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
406a2 |
Quadratic twists by: 13 |