Atkin-Lehner |
2+ 3+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432j |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1791215776870760448 = 216 · 316 · 133 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 0 2 2 13- 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-336193,38622913] |
[a1,a2,a3,a4,a6] |
Generators |
[1344:44863:1] |
Generators of the group modulo torsion |
j |
64122592551794500/27331783704693 |
j-invariant |
L |
6.0253121859559 |
L(r)(E,1)/r! |
Ω |
0.23882812670955 |
Real period |
R |
4.2047756748501 |
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 |
42432cm2 5304d2 127296r2 |
Quadratic twists by: -4 8 -3 |