Atkin-Lehner |
2- 3- 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47190cm |
Isogeny class |
Conductor |
47190 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
250457890918950 = 2 · 32 · 52 · 117 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11- 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-3194826,-2198221794] |
[a1,a2,a3,a4,a6] |
Generators |
[2262510:-47568429:1000] |
Generators of the group modulo torsion |
j |
2035678735521204409/141376950 |
j-invariant |
L |
10.981571704776 |
L(r)(E,1)/r! |
Ω |
0.11292438999958 |
Real period |
R |
12.155889999503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4290k4 |
Quadratic twists by: -11 |