Atkin-Lehner |
2- 3+ 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19950bx |
Isogeny class |
Conductor |
19950 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-2674576800 = -1 · 25 · 33 · 52 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -6 -5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-15558,740451] |
[a1,a2,a3,a4,a6] |
Generators |
[69:3:1] |
Generators of the group modulo torsion |
j |
-16658916431011465/106983072 |
j-invariant |
L |
5.5809117023704 |
L(r)(E,1)/r! |
Ω |
1.2833770179068 |
Real period |
R |
0.43486143389672 |
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 |
59850bq1 19950bn1 |
Quadratic twists by: -3 5 |