Atkin-Lehner |
2+ 5+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
113230a |
Isogeny class |
Conductor |
113230 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.6773786653393E+20 |
Discriminant |
Eigenvalues |
2+ 0 5+ -4 -4 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1789150,-477785580] |
[a1,a2,a3,a4,a6] |
Generators |
[-497:17233:1] |
Generators of the group modulo torsion |
j |
131221196419777281/55468916738560 |
j-invariant |
L |
0.68274475932568 |
L(r)(E,1)/r! |
Ω |
0.13556997018984 |
Real period |
R |
2.5180530028895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000267294 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8710j2 |
Quadratic twists by: 13 |