Atkin-Lehner |
2+ 3+ 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
1050a |
Isogeny class |
Conductor |
1050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
40516875000 = 23 · 33 · 57 · 74 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-144025,20978125] |
[a1,a2,a3,a4,a6] |
Generators |
[225:50:1] |
Generators of the group modulo torsion |
j |
21145699168383889/2593080 |
j-invariant |
L |
1.6285819080721 |
L(r)(E,1)/r! |
Ω |
0.89014505837211 |
Real period |
R |
1.829569116578 |
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 |
8400ce4 33600cc5 3150bf4 210a4 |
Quadratic twists by: -4 8 -3 5 |