Atkin-Lehner |
2- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
123200gx |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
150920000 = 26 · 54 · 73 · 11 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 11+ 1 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-133,-87] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:23:1] |
Generators of the group modulo torsion |
j |
6553600/3773 |
j-invariant |
L |
4.0958534721248 |
L(r)(E,1)/r! |
Ω |
1.5291509650296 |
Real period |
R |
2.6785147886936 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999954781 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123200ds1 30800co1 123200fm1 |
Quadratic twists by: -4 8 5 |