Atkin-Lehner |
3+ 13+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
71487b |
Isogeny class |
Conductor |
71487 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
134400 |
Modular degree for the optimal curve |
Δ |
79627868073 = 33 · 137 · 47 |
Discriminant |
Eigenvalues |
-1 3+ 4 -2 0 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-6623,208654] |
[a1,a2,a3,a4,a6] |
Generators |
[124:1070:1] |
Generators of the group modulo torsion |
j |
246491883/611 |
j-invariant |
L |
4.5384473138923 |
L(r)(E,1)/r! |
Ω |
1.0872113030441 |
Real period |
R |
4.1743930558181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000569 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
71487e1 5499d1 |
Quadratic twists by: -3 13 |