Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400w |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3552781500000000 = -1 · 28 · 39 · 59 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 2 2 6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3375,2868750] |
[a1,a2,a3,a4,a6] |
Generators |
[2847:51832:27] |
Generators of the group modulo torsion |
j |
-432/361 |
j-invariant |
L |
7.9573320555241 |
L(r)(E,1)/r! |
Ω |
0.35895924692924 |
Real period |
R |
5.5419467001173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994216 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34200ce2 68400x2 68400y2 |
Quadratic twists by: -4 -3 5 |