Atkin-Lehner |
2+ 3- 5+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
62400dd |
Isogeny class |
Conductor |
62400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
243360000000000 = 214 · 32 · 510 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 -4 13- 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15633,46863] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:819:1] |
Generators of the group modulo torsion |
j |
1650587344/950625 |
j-invariant |
L |
9.4504087391565 |
L(r)(E,1)/r! |
Ω |
0.47343097372705 |
Real period |
R |
4.9903836374527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000162 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62400fg2 7800m2 12480m2 |
Quadratic twists by: -4 8 5 |