Atkin-Lehner |
2+ 3- 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
50094i |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-27316404970260318 = -1 · 2 · 313 · 113 · 235 |
Discriminant |
Eigenvalues |
2+ 3- 0 5 11+ 1 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-72837,10994539] |
[a1,a2,a3,a4,a6] |
Generators |
[905:25733:1] |
Generators of the group modulo torsion |
j |
-44043074880875/28152564282 |
j-invariant |
L |
5.7896374924669 |
L(r)(E,1)/r! |
Ω |
0.34648226238082 |
Real period |
R |
0.83548829493572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000046 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16698v1 50094br1 |
Quadratic twists by: -3 -11 |