Atkin-Lehner |
3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
127449bq |
Isogeny class |
Conductor |
127449 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
248832 |
Modular degree for the optimal curve |
Δ |
-2586654306747 = -1 · 37 · 72 · 176 |
Discriminant |
Eigenvalues |
-2 3- 2 7- -2 -1 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6069,197748] |
[a1,a2,a3,a4,a6] |
Generators |
[51:144:1] |
Generators of the group modulo torsion |
j |
-28672/3 |
j-invariant |
L |
3.8004746915245 |
L(r)(E,1)/r! |
Ω |
0.79061529599546 |
Real period |
R |
1.2017459051747 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999772135 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42483x1 127449v1 441f1 |
Quadratic twists by: -3 -7 17 |