Atkin-Lehner |
2- 3+ 5- 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
104940j |
Isogeny class |
Conductor |
104940 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
214272 |
Modular degree for the optimal curve |
Δ |
1216370034000 = 24 · 39 · 53 · 11 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11+ -2 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12852,-558279] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:35:1] |
Generators of the group modulo torsion |
j |
745460416512/3862375 |
j-invariant |
L |
8.4590253802254 |
L(r)(E,1)/r! |
Ω |
0.44853086141574 |
Real period |
R |
2.095489501019 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999780215 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
104940i1 |
Quadratic twists by: -3 |