Atkin-Lehner |
3- 5+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47025ba |
Isogeny class |
Conductor |
47025 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
535644140625 = 38 · 58 · 11 · 19 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-220505,-39799128] |
[a1,a2,a3,a4,a6] |
Generators |
[-1330590:681714:4913] |
Generators of the group modulo torsion |
j |
104094944089921/47025 |
j-invariant |
L |
3.6900086892354 |
L(r)(E,1)/r! |
Ω |
0.22031552916047 |
Real period |
R |
8.3743726629222 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15675b1 9405h1 |
Quadratic twists by: -3 5 |