Atkin-Lehner |
2+ 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
101150bf |
Isogeny class |
Conductor |
101150 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
8372160 |
Modular degree for the optimal curve |
Δ |
-1.5680699120111E+21 |
Discriminant |
Eigenvalues |
2+ -2 5- 7+ -5 -6 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,2781474,-664424752] |
[a1,a2,a3,a4,a6] |
Generators |
[154715603:8825430027:357911] |
Generators of the group modulo torsion |
j |
545855338775/359661568 |
j-invariant |
L |
2.156100742379 |
L(r)(E,1)/r! |
Ω |
0.085728262987275 |
Real period |
R |
12.575203855819 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998879389 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101150cp1 101150bj1 |
Quadratic twists by: 5 17 |