Atkin-Lehner |
2- 3- 5+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77520cf |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
3221188560 = 24 · 38 · 5 · 17 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-541,-4186] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:18:1] |
Generators of the group modulo torsion |
j |
1096473247744/201324285 |
j-invariant |
L |
5.0279585455743 |
L(r)(E,1)/r! |
Ω |
1.0022989424221 |
Real period |
R |
1.2541065175428 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001399 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19380e1 |
Quadratic twists by: -4 |