Atkin-Lehner |
2+ 3+ 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050bx |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
1925020700064000 = 28 · 32 · 53 · 73 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 11- 4 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-57235,-4853075] |
[a1,a2,a3,a4,a6] |
Generators |
[-106:245:1] |
Generators of the group modulo torsion |
j |
93638512421/8692992 |
j-invariant |
L |
4.5629611779671 |
L(r)(E,1)/r! |
Ω |
0.3104977296621 |
Real period |
R |
3.6739085173332 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000358307 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
127050jk1 11550cc1 |
Quadratic twists by: 5 -11 |