Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
6050o |
Isogeny class |
Conductor |
6050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-608974093750000 = -1 · 24 · 59 · 117 |
Discriminant |
Eigenvalues |
2+ 2 5- 0 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16700,-1456000] |
[a1,a2,a3,a4,a6] |
Generators |
[401796:8937800:729] |
Generators of the group modulo torsion |
j |
-148877/176 |
j-invariant |
L |
4.0797636875006 |
L(r)(E,1)/r! |
Ω |
0.20086107976546 |
Real period |
R |
10.1556849447 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48400de1 54450gp1 6050bl1 550l1 |
Quadratic twists by: -4 -3 5 -11 |