Atkin-Lehner |
2+ 3+ 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040bq |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-5803038694440960 = -1 · 226 · 3 · 5 · 78 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7- -4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,31295,2971585] |
[a1,a2,a3,a4,a6] |
Generators |
[28068:642733:64] |
Generators of the group modulo torsion |
j |
109902239/188160 |
j-invariant |
L |
4.1838653021908 |
L(r)(E,1)/r! |
Ω |
0.29204818124229 |
Real period |
R |
7.1629709940182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040hc1 1470p1 6720u1 |
Quadratic twists by: -4 8 -7 |