Atkin-Lehner |
2- 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304ho |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-581719497375744 = -1 · 229 · 35 · 73 · 13 |
Discriminant |
Eigenvalues |
2- 3- 3 7- -5 13+ 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-14849,-1358337] |
[a1,a2,a3,a4,a6] |
j |
-4027268071/6469632 |
j-invariant |
L |
4.0960248891848 |
L(r)(E,1)/r! |
Ω |
0.20480130503222 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122304bg1 30576ch1 122304gn1 |
Quadratic twists by: -4 8 -7 |