Atkin-Lehner |
2- 3- 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
77256k |
Isogeny class |
Conductor |
77256 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
288000 |
Modular degree for the optimal curve |
Δ |
-1501184609215488 = -1 · 210 · 36 · 29 · 375 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -5 -4 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,15765,-1701322] |
[a1,a2,a3,a4,a6] |
Generators |
[9633033:218506004:19683] |
Generators of the group modulo torsion |
j |
580467825500/2010974753 |
j-invariant |
L |
5.7885020720228 |
L(r)(E,1)/r! |
Ω |
0.24323046747109 |
Real period |
R |
11.899212569606 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000581 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8584c1 |
Quadratic twists by: -3 |