Atkin-Lehner |
2+ 3+ 5- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
50160g |
Isogeny class |
Conductor |
50160 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-3722812500000000000 = -1 · 211 · 3 · 516 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11+ -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,378080,-24845600] |
[a1,a2,a3,a4,a6] |
Generators |
[2090:99450:1] |
Generators of the group modulo torsion |
j |
2918392657582587838/1817779541015625 |
j-invariant |
L |
4.9121637247735 |
L(r)(E,1)/r! |
Ω |
0.14347054204457 |
Real period |
R |
4.2797668207235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000051 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
25080v5 |
Quadratic twists by: -4 |