Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
26100o |
Isogeny class |
Conductor |
26100 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-802697343750000 = -1 · 24 · 311 · 510 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 3 3 -1 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-42825,-3673375] |
[a1,a2,a3,a4,a6] |
Generators |
[385:6075:1] |
Generators of the group modulo torsion |
j |
-47659369216/4404375 |
j-invariant |
L |
6.0555601046859 |
L(r)(E,1)/r! |
Ω |
0.16506947613991 |
Real period |
R |
3.057076453651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
104400dz1 8700g1 5220i1 |
Quadratic twists by: -4 -3 5 |