Atkin-Lehner |
3- 5- 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
77805s |
Isogeny class |
Conductor |
77805 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
104448 |
Modular degree for the optimal curve |
Δ |
58364720505 = 39 · 5 · 74 · 13 · 19 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ 4 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6399,198288] |
[a1,a2,a3,a4,a6] |
Generators |
[220944:253281:4096] |
Generators of the group modulo torsion |
j |
39753071528689/80061345 |
j-invariant |
L |
8.7886030609947 |
L(r)(E,1)/r! |
Ω |
1.1142253383244 |
Real period |
R |
7.8876352552115 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000202 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25935m1 |
Quadratic twists by: -3 |