Atkin-Lehner |
2- 3- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
50094cn |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
253440 |
Modular degree for the optimal curve |
Δ |
-388168778634516 = -1 · 22 · 39 · 118 · 23 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 11- 5 6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-20714,-1483171] |
[a1,a2,a3,a4,a6] |
Generators |
[1398:2969:8] |
Generators of the group modulo torsion |
j |
-6289657/2484 |
j-invariant |
L |
7.8615205436216 |
L(r)(E,1)/r! |
Ω |
0.19516924540443 |
Real period |
R |
5.0350661853186 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16698s1 50094bg1 |
Quadratic twists by: -3 -11 |