Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
122304n |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-17529493782528 = -1 · 222 · 38 · 72 · 13 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 5 13+ -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4993,244609] |
[a1,a2,a3,a4,a6] |
j |
-1071912625/1364688 |
j-invariant |
L |
2.4995837007181 |
L(r)(E,1)/r! |
Ω |
0.62489608321307 |
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 |
122304gy1 3822bf1 122304cl1 |
Quadratic twists by: -4 8 -7 |