Atkin-Lehner |
2+ 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
50094p |
Isogeny class |
Conductor |
50094 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
768000 |
Modular degree for the optimal curve |
Δ |
153082264996308384 = 25 · 36 · 1111 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 11- 7 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1018419,395389781] |
[a1,a2,a3,a4,a6] |
Generators |
[33940:114799:64] |
Generators of the group modulo torsion |
j |
90452336967369/118533536 |
j-invariant |
L |
5.1534152285465 |
L(r)(E,1)/r! |
Ω |
0.32398459075468 |
Real period |
R |
1.9882948817788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999315 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5566g1 4554w1 |
Quadratic twists by: -3 -11 |