Atkin-Lehner |
2- 5- 7+ 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
14630s |
Isogeny class |
Conductor |
14630 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
43520 |
Modular degree for the optimal curve |
Δ |
21869558824960 = 216 · 5 · 75 · 11 · 192 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 11- 4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17637,-868579] |
[a1,a2,a3,a4,a6] |
j |
606701084966456481/21869558824960 |
j-invariant |
L |
3.3215957634366 |
L(r)(E,1)/r! |
Ω |
0.41519947042958 |
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 |
117040cl1 73150j1 102410bt1 |
Quadratic twists by: -4 5 -7 |