Atkin-Lehner |
2+ 3+ 7+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
67536f |
Isogeny class |
Conductor |
67536 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
77214720 |
Modular degree for the optimal curve |
Δ |
1.2548416528007E+22 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 6 6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-17795900286,913751407729575] |
[a1,a2,a3,a4,a6] |
Generators |
[1845292754578271420800454950209044253059321929398788581752206901559:13380042596272863204038863911361598721297073204233107544198806686:23958476934233618153833899575335585502333263427565368674463593] |
Generators of the group modulo torsion |
j |
1979120912964331319793367824384/39845350454728903 |
j-invariant |
L |
6.2997114126987 |
L(r)(E,1)/r! |
Ω |
0.065607295227858 |
Real period |
R |
96.021507834142 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33768c1 67536c1 |
Quadratic twists by: -4 -3 |