Atkin-Lehner |
2- 3+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304gj |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1990656 |
Modular degree for the optimal curve |
Δ |
-441927303004422144 = -1 · 221 · 39 · 77 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 3 13- 3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,42271,31794561] |
[a1,a2,a3,a4,a6] |
j |
270840023/14329224 |
j-invariant |
L |
3.6154156785118 |
L(r)(E,1)/r! |
Ω |
0.22596358704174 |
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 |
122304ek1 30576cr1 17472cq1 |
Quadratic twists by: -4 8 -7 |