Atkin-Lehner |
3- 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
5727f |
Isogeny class |
Conductor |
5727 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
3392 |
Modular degree for the optimal curve |
Δ |
1014520869 = 312 · 23 · 83 |
Discriminant |
Eigenvalues |
0 3- -3 2 6 2 6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-717,6995] |
[a1,a2,a3,a4,a6] |
j |
40821292269568/1014520869 |
j-invariant |
L |
2.0750371964511 |
L(r)(E,1)/r! |
Ω |
1.5562778973383 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
91632p1 17181i1 |
Quadratic twists by: -4 -3 |