Atkin-Lehner |
2- 3+ 5- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
106050br |
Isogeny class |
Conductor |
106050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
291840 |
Modular degree for the optimal curve |
Δ |
28186101562500 = 22 · 36 · 59 · 72 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -2 -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15138,663531] |
[a1,a2,a3,a4,a6] |
Generators |
[-131:713:1] |
Generators of the group modulo torsion |
j |
196426902797/14431284 |
j-invariant |
L |
8.6683585700151 |
L(r)(E,1)/r! |
Ω |
0.65111913858538 |
Real period |
R |
3.3282536350985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012112 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106050w1 |
Quadratic twists by: 5 |