Atkin-Lehner |
2- 3- 5- 61- |
Signs for the Atkin-Lehner involutions |
Class |
10980i |
Isogeny class |
Conductor |
10980 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-7031082528000 = -1 · 28 · 310 · 53 · 612 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -2 -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4353,63686] |
[a1,a2,a3,a4,a6] |
Generators |
[47:610:1] |
Generators of the group modulo torsion |
j |
48878989616/37675125 |
j-invariant |
L |
4.8672098218542 |
L(r)(E,1)/r! |
Ω |
0.47872358447065 |
Real period |
R |
0.56483648274309 |
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 |
43920ce2 3660b2 54900q2 |
Quadratic twists by: -4 -3 5 |