Atkin-Lehner |
2- 3+ 5- 7+ |
Signs for the Atkin-Lehner involutions |
Class |
47040ex |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
322560 |
Modular degree for the optimal curve |
Δ |
-573786784972800 = -1 · 214 · 35 · 52 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ -4 -7 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-95125,11382925] |
[a1,a2,a3,a4,a6] |
Generators |
[180:245:1] |
Generators of the group modulo torsion |
j |
-1007878144/6075 |
j-invariant |
L |
3.948291514828 |
L(r)(E,1)/r! |
Ω |
0.52002623195951 |
Real period |
R |
1.2654142144393 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47040cz1 11760cc1 47040gl1 |
Quadratic twists by: -4 8 -7 |