Atkin-Lehner |
3- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
47025bs |
Isogeny class |
Conductor |
47025 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
859584 |
Modular degree for the optimal curve |
Δ |
-16868933791875 = -1 · 317 · 54 · 11 · 19 |
Discriminant |
Eigenvalues |
2 3- 5- -2 11- 5 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-3240975,2245751181] |
[a1,a2,a3,a4,a6] |
Generators |
[532360:10679:512] |
Generators of the group modulo torsion |
j |
-8263103822294732800/37023723 |
j-invariant |
L |
12.001183606653 |
L(r)(E,1)/r! |
Ω |
0.46796261495501 |
Real period |
R |
2.1371336126558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15675z1 47025bh1 |
Quadratic twists by: -3 5 |