Atkin-Lehner |
2- 5- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10640u |
Isogeny class |
Conductor |
10640 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-322781796400 = -1 · 24 · 52 · 76 · 193 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 0 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,1715,0] |
[a1,a2,a3,a4,a6] |
Generators |
[3573090:37638435:195112] |
Generators of the group modulo torsion |
j |
34845190651904/20173862275 |
j-invariant |
L |
6.5078887590047 |
L(r)(E,1)/r! |
Ω |
0.57782389530169 |
Real period |
R |
11.262754641891 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2660h3 42560cf3 95760da3 53200cj3 |
Quadratic twists by: -4 8 -3 5 |