Atkin-Lehner |
2+ 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
21850d |
Isogeny class |
Conductor |
21850 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-33381381200 = -1 · 24 · 52 · 193 · 233 |
Discriminant |
Eigenvalues |
2+ -1 5+ 1 0 4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,360,-8240] |
[a1,a2,a3,a4,a6] |
Generators |
[144:1676:1] |
Generators of the group modulo torsion |
j |
205496714255/1335255248 |
j-invariant |
L |
3.2685574221762 |
L(r)(E,1)/r! |
Ω |
0.58192052869756 |
Real period |
R |
0.31204694541479 |
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 |
21850i2 |
Quadratic twists by: 5 |