Atkin-Lehner |
3- 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275dk |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
20275200 |
Modular degree for the optimal curve |
Δ |
1.382177301855E+24 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- 11+ 1 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-29788815,26770034821] |
[a1,a2,a3,a4,a6] |
Generators |
[-651388245109966:94677881856042467:342118755784] |
Generators of the group modulo torsion |
j |
1363413585016606720/644626239703677 |
j-invariant |
L |
13.510482664374 |
L(r)(E,1)/r! |
Ω |
0.076282560101078 |
Real period |
R |
22.13887854326 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40425z1 121275ge2 17325ba1 |
Quadratic twists by: -3 5 -7 |