Atkin-Lehner |
3- 5+ 13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
86775s |
Isogeny class |
Conductor |
86775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
66048 |
Modular degree for the optimal curve |
Δ |
4067578125 = 32 · 58 · 13 · 89 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 0 13- 5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3133,66394] |
[a1,a2,a3,a4,a6] |
Generators |
[28:37:1] |
Generators of the group modulo torsion |
j |
217732612096/260325 |
j-invariant |
L |
7.1556697983301 |
L(r)(E,1)/r! |
Ω |
1.3849523968517 |
Real period |
R |
1.2916815426021 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006634 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17355c1 |
Quadratic twists by: 5 |