Atkin-Lehner |
3- 5- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121275go |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
72816433760156625 = 312 · 53 · 77 · 113 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- 11- 4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-447845,-114510868] |
[a1,a2,a3,a4,a6] |
Generators |
[-362:450:1] |
Generators of the group modulo torsion |
j |
926574216749/6792093 |
j-invariant |
L |
4.279441210045 |
L(r)(E,1)/r! |
Ω |
0.18463311709047 |
Real period |
R |
1.9315066887655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005867 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40425cy1 121275gm1 17325bv1 |
Quadratic twists by: -3 5 -7 |