Atkin-Lehner |
2+ 3- 5+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
50430l |
Isogeny class |
Conductor |
50430 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-1533105643991232000 = -1 · 29 · 3 · 53 · 418 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 0 5 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-989304,-383479994] |
[a1,a2,a3,a4,a6] |
Generators |
[179933934225204893622309992267724556894538988993150:-9073277035773227744601353597246886398334088595043041:62438640468799144562662360345508745032235144552] |
Generators of the group modulo torsion |
j |
-13410393529/192000 |
j-invariant |
L |
6.0486650034762 |
L(r)(E,1)/r! |
Ω |
0.075625355965479 |
Real period |
R |
79.981970679745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50430d2 |
Quadratic twists by: 41 |