Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
20400cx |
Isogeny class |
Conductor |
20400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
332928000000 = 213 · 32 · 56 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11097608,14225884788] |
[a1,a2,a3,a4,a6] |
Generators |
[1972:3738:1] |
Generators of the group modulo torsion |
j |
2361739090258884097/5202 |
j-invariant |
L |
6.706103697797 |
L(r)(E,1)/r! |
Ω |
0.44429859400645 |
Real period |
R |
3.7734216292048 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2550b5 81600fh6 61200fh6 816h5 |
Quadratic twists by: -4 8 -3 5 |