Atkin-Lehner |
3+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12075c |
Isogeny class |
Conductor |
12075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-49747467041015625 = -1 · 34 · 518 · 7 · 23 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-51775,11628250] |
[a1,a2,a3,a4,a6] |
Generators |
[6302:168515:8] |
Generators of the group modulo torsion |
j |
-982374577874929/3183837890625 |
j-invariant |
L |
4.4416553960906 |
L(r)(E,1)/r! |
Ω |
0.3129703776732 |
Real period |
R |
7.0959677224285 |
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 |
36225bk3 2415f4 84525by3 |
Quadratic twists by: -3 5 -7 |