Atkin-Lehner |
3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47025z |
Isogeny class |
Conductor |
47025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-7141921875 = -1 · 37 · 56 · 11 · 19 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 11- -1 -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-300,4531] |
[a1,a2,a3,a4,a6] |
Generators |
[25:112:1] |
Generators of the group modulo torsion |
j |
-262144/627 |
j-invariant |
L |
3.8308727549495 |
L(r)(E,1)/r! |
Ω |
1.1739352612197 |
Real period |
R |
0.81581857226473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999778 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15675a1 1881c1 |
Quadratic twists by: -3 5 |