Atkin-Lehner |
2- 3- 23+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
101016l |
Isogeny class |
Conductor |
101016 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76800 |
Modular degree for the optimal curve |
Δ |
-190876601088 = -1 · 28 · 312 · 23 · 61 |
Discriminant |
Eigenvalues |
2- 3- -2 -1 3 -5 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1284,-11324] |
[a1,a2,a3,a4,a6] |
Generators |
[56:486:1] |
Generators of the group modulo torsion |
j |
1254444032/1022787 |
j-invariant |
L |
4.095291096679 |
L(r)(E,1)/r! |
Ω |
0.55867502615503 |
Real period |
R |
0.91629545117949 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000003773 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
33672d1 |
Quadratic twists by: -3 |