Atkin-Lehner |
2- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200hw |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-104717713408000 = -1 · 218 · 53 · 74 · 113 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 11- 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3647,-483777] |
[a1,a2,a3,a4,a6] |
Generators |
[133:1540:1] |
Generators of the group modulo torsion |
j |
163667323/3195731 |
j-invariant |
L |
4.7912604844925 |
L(r)(E,1)/r! |
Ω |
0.28984300422888 |
Real period |
R |
0.68877236319848 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000127294 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200co1 30800ct1 123200hc1 |
Quadratic twists by: -4 8 5 |