Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10640o |
Isogeny class |
Conductor |
10640 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4800 |
Modular degree for the optimal curve |
Δ |
-106400000 = -1 · 28 · 55 · 7 · 19 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 2 0 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3276,73276] |
[a1,a2,a3,a4,a6] |
Generators |
[33:4:1] |
Generators of the group modulo torsion |
j |
-15193155676624/415625 |
j-invariant |
L |
3.1674390605742 |
L(r)(E,1)/r! |
Ω |
1.7489571444 |
Real period |
R |
1.8110444105026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2660b1 42560cx1 95760et1 53200cr1 |
Quadratic twists by: -4 8 -3 5 |