Atkin-Lehner |
2- 5+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
10450w |
Isogeny class |
Conductor |
10450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-27165917968750000 = -1 · 24 · 514 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11+ -2 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1145,7929647] |
[a1,a2,a3,a4,a6] |
Generators |
[75:2866:1] |
Generators of the group modulo torsion |
j |
10633486599/1738618750000 |
j-invariant |
L |
6.4005121087195 |
L(r)(E,1)/r! |
Ω |
0.29700466854737 |
Real period |
R |
2.6937758840728 |
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 |
83600bp3 94050be3 2090h4 114950g3 |
Quadratic twists by: -4 -3 5 -11 |