Atkin-Lehner |
2+ 3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47190bj |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
Δ |
-231479604784496640 = -1 · 215 · 3 · 5 · 118 · 133 |
Discriminant |
Eigenvalues |
2+ 3- 5- -1 11- 13- 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,89537,-20716654] |
[a1,a2,a3,a4,a6] |
Generators |
[465108:39450397:64] |
Generators of the group modulo torsion |
j |
370336757879/1079869440 |
j-invariant |
L |
5.6412492074108 |
L(r)(E,1)/r! |
Ω |
0.16089941738315 |
Real period |
R |
11.68690622415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999624 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47190cw2 |
Quadratic twists by: -11 |