Atkin-Lehner |
2- 3- 5+ 19- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
121410w |
Isogeny class |
Conductor |
121410 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1228800 |
Modular degree for the optimal curve |
Δ |
-44133220238040000 = -1 · 26 · 316 · 54 · 192 · 71 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-102488,-16149733] |
[a1,a2,a3,a4,a6] |
j |
-163309431012319801/60539396760000 |
j-invariant |
L |
3.1437718336772 |
L(r)(E,1)/r! |
Ω |
0.13099049603163 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40470z1 |
Quadratic twists by: -3 |