Atkin-Lehner |
2- 3- 5+ 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
15810r |
Isogeny class |
Conductor |
15810 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-10414837500 = -1 · 22 · 3 · 55 · 172 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-156,-4980] |
[a1,a2,a3,a4,a6] |
Generators |
[26826:283939:216] |
Generators of the group modulo torsion |
j |
-420021471169/10414837500 |
j-invariant |
L |
7.5423928963262 |
L(r)(E,1)/r! |
Ω |
0.55643735513835 |
Real period |
R |
6.7773962573477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
126480y1 47430r1 79050e1 |
Quadratic twists by: -4 -3 5 |