Atkin-Lehner |
3+ 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
5727c |
Isogeny class |
Conductor |
5727 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
81798741 = 34 · 233 · 83 |
Discriminant |
Eigenvalues |
-2 3+ -1 -4 0 2 -8 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-116,248] |
[a1,a2,a3,a4,a6] |
Generators |
[1:11:1] [2:4:1] |
Generators of the group modulo torsion |
j |
174115016704/81798741 |
j-invariant |
L |
2.1887098881664 |
L(r)(E,1)/r! |
Ω |
1.7182717138326 |
Real period |
R |
0.21229761185281 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91632v1 17181e1 |
Quadratic twists by: -4 -3 |