Atkin-Lehner |
3+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12075b |
Isogeny class |
Conductor |
12075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
3183837890625 = 34 · 512 · 7 · 23 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ -2 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5750,-146625] |
[a1,a2,a3,a4,a6] |
Generators |
[-330:1365:8] |
Generators of the group modulo torsion |
j |
1345938541921/203765625 |
j-invariant |
L |
4.2600836097192 |
L(r)(E,1)/r! |
Ω |
0.55381117419001 |
Real period |
R |
3.8461517284749 |
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 |
36225bj1 2415i1 84525bw1 |
Quadratic twists by: -3 5 -7 |