Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
34200ce |
Isogeny class |
Conductor |
34200 |
Conductor |
∏ cp |
32 |
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 |
[169:1178:1] |
Generators of the group modulo torsion |
j |
-432/361 |
j-invariant |
L |
5.229752532618 |
L(r)(E,1)/r! |
Ω |
0.20026157129232 |
Real period |
R |
3.2643260629518 |
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 |
68400w2 34200m2 34200l2 |
Quadratic twists by: -4 -3 5 |