Atkin-Lehner |
2+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200cy |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
7727104000000000 = 220 · 59 · 73 · 11 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 11- 6 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-623500,-189450000] |
[a1,a2,a3,a4,a6] |
Generators |
[1238043187998:80356480659712:283593393] |
Generators of the group modulo torsion |
j |
52355598021/15092 |
j-invariant |
L |
6.4665223536029 |
L(r)(E,1)/r! |
Ω |
0.16990178943861 |
Real period |
R |
19.030177489483 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999010406 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123200hl1 3850i1 123200do1 |
Quadratic twists by: -4 8 5 |