Atkin-Lehner |
2- 3- 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
67536bn |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
380160 |
Modular degree for the optimal curve |
Δ |
367113403367424 = 230 · 36 · 7 · 67 |
Discriminant |
Eigenvalues |
2- 3- -3 7+ -6 5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25779,1299314] |
[a1,a2,a3,a4,a6] |
Generators |
[425:8192:1] |
Generators of the group modulo torsion |
j |
634504103857/122945536 |
j-invariant |
L |
3.3000995381017 |
L(r)(E,1)/r! |
Ω |
0.50944969238494 |
Real period |
R |
1.6194432873769 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992288 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8442b1 7504p1 |
Quadratic twists by: -4 -3 |