Atkin-Lehner |
2- 3+ 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47190by |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
245 |
Product of Tamagawa factors cp |
deg |
470400 |
Modular degree for the optimal curve |
Δ |
-109171280790000000 = -1 · 27 · 35 · 57 · 112 · 135 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 11- 13- -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,107055,-8378193] |
[a1,a2,a3,a4,a6] |
Generators |
[147:3176:1] |
Generators of the group modulo torsion |
j |
1121395878788998439/902241990000000 |
j-invariant |
L |
8.8437531934716 |
L(r)(E,1)/r! |
Ω |
0.18534813199697 |
Real period |
R |
0.19475217484584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47190l1 |
Quadratic twists by: -11 |