Atkin-Lehner |
5+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
12025b |
Isogeny class |
Conductor |
12025 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-3093097744140625 = -1 · 510 · 132 · 374 |
Discriminant |
Eigenvalues |
1 0 5+ -4 4 13+ -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,4708,2671741] |
[a1,a2,a3,a4,a6] |
Generators |
[324:6013:1] |
Generators of the group modulo torsion |
j |
738518126319/197958255625 |
j-invariant |
L |
4.4135102768585 |
L(r)(E,1)/r! |
Ω |
0.34807920793319 |
Real period |
R |
3.1699037002704 |
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 |
108225k3 2405d4 |
Quadratic twists by: -3 5 |