Atkin-Lehner |
2- 3+ 5+ 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
79950be |
Isogeny class |
Conductor |
79950 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
863460000000 = 28 · 34 · 57 · 13 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2588,22781] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:77:1] [-45:247:1] |
Generators of the group modulo torsion |
j |
122689385209/55261440 |
j-invariant |
L |
11.929647515774 |
L(r)(E,1)/r! |
Ω |
0.79792479353507 |
Real period |
R |
0.93442762497709 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15990i1 |
Quadratic twists by: 5 |