Atkin-Lehner |
2- 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
4176bh |
Isogeny class |
Conductor |
4176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-1.8550762939529E+21 |
Discriminant |
Eigenvalues |
2- 3- 3 -5 6 -4 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1109451,2120488058] |
[a1,a2,a3,a4,a6] |
j |
-50577879066661513/621261297432576 |
j-invariant |
L |
2.0151569019853 |
L(r)(E,1)/r! |
Ω |
0.12594730637408 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
522m1 16704cv1 1392i1 104400ff1 |
Quadratic twists by: -4 8 -3 5 |