Atkin-Lehner |
2- 3+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
4176s |
Isogeny class |
Conductor |
4176 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-8860816368 = -1 · 24 · 33 · 295 |
Discriminant |
Eigenvalues |
2- 3+ 0 -1 5 -3 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-345,-5157] |
[a1,a2,a3,a4,a6] |
Generators |
[186:2523:1] |
Generators of the group modulo torsion |
j |
-10512288000/20511149 |
j-invariant |
L |
3.649867403459 |
L(r)(E,1)/r! |
Ω |
0.52091943263465 |
Real period |
R |
0.70065871511053 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1044c1 16704bm1 4176n1 104400dc1 |
Quadratic twists by: -4 8 -3 5 |