Atkin-Lehner |
2+ 7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
68614c |
Isogeny class |
Conductor |
68614 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-11310057304 = -1 · 23 · 73 · 132 · 293 |
Discriminant |
Eigenvalues |
2+ -2 3 7+ 3 13+ -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-472,-6498] |
[a1,a2,a3,a4,a6] |
Generators |
[3540:38171:27] |
Generators of the group modulo torsion |
j |
-68602456273/66923416 |
j-invariant |
L |
3.5350560143031 |
L(r)(E,1)/r! |
Ω |
0.49273846512538 |
Real period |
R |
7.1743049589989 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001314 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68614x2 |
Quadratic twists by: 13 |