Atkin-Lehner |
2+ 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47190bj |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-300959868924000 = -1 · 25 · 33 · 53 · 118 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-10288,925406] |
[a1,a2,a3,a4,a6] |
Generators |
[30:787:1] |
Generators of the group modulo torsion |
j |
-561712921/1404000 |
j-invariant |
L |
5.6412492074108 |
L(r)(E,1)/r! |
Ω |
0.48269825214946 |
Real period |
R |
3.8956354080501 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999624 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
47190cw1 |
Quadratic twists by: -11 |