Atkin-Lehner |
2+ 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
47424bm |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
2950152192 = 214 · 36 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 0 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5233,143951] |
[a1,a2,a3,a4,a6] |
Generators |
[29:132:1] |
Generators of the group modulo torsion |
j |
967473250000/180063 |
j-invariant |
L |
7.3466202963136 |
L(r)(E,1)/r! |
Ω |
1.3844288781852 |
Real period |
R |
1.7688690771252 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47424ck2 2964a2 |
Quadratic twists by: -4 8 |