Atkin-Lehner |
2+ 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
2850b |
Isogeny class |
Conductor |
2850 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
8906250 = 2 · 3 · 57 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-76000,8032750] |
[a1,a2,a3,a4,a6] |
Generators |
[159:-74:1] |
Generators of the group modulo torsion |
j |
3107086841064961/570 |
j-invariant |
L |
1.801588555832 |
L(r)(E,1)/r! |
Ω |
1.3420867877289 |
Real period |
R |
1.3423785796153 |
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 |
22800dk4 91200ed4 8550ba3 570m4 |
Quadratic twists by: -4 8 -3 5 |