Atkin-Lehner |
2- 3- 7- 19+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
42294y |
Isogeny class |
Conductor |
42294 |
Conductor |
∏ cp |
224 |
Product of Tamagawa factors cp |
Δ |
1227655017371123712 = 214 · 34 · 7 · 196 · 532 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -4 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-543508,-144765040] |
[a1,a2,a3,a4,a6] |
Generators |
[-376:2732:1] |
Generators of the group modulo torsion |
j |
17755854799297058466625/1227655017371123712 |
j-invariant |
L |
10.812870549745 |
L(r)(E,1)/r! |
Ω |
0.17659735589833 |
Real period |
R |
1.0933740945341 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126882t2 |
Quadratic twists by: -3 |