Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
68400y |
Isogeny class |
Conductor |
68400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-227378016000 = -1 · 28 · 39 · 53 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 2 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-135,22950] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:152:1] |
Generators of the group modulo torsion |
j |
-432/361 |
j-invariant |
L |
5.3686107644344 |
L(r)(E,1)/r! |
Ω |
0.80265727728592 |
Real period |
R |
1.6721367004112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993048 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34200l2 68400z2 68400w2 |
Quadratic twists by: -4 -3 5 |