Atkin-Lehner |
2+ 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
69312bb |
Isogeny class |
Conductor |
69312 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-2125203706478592 = -1 · 226 · 35 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 0 1 2 3 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-69793,7412159] |
[a1,a2,a3,a4,a6] |
j |
-1100553625/62208 |
j-invariant |
L |
4.5763506703043 |
L(r)(E,1)/r! |
Ω |
0.45763506917286 |
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 |
69312cb1 2166a1 69312j1 |
Quadratic twists by: -4 8 -19 |