Atkin-Lehner |
2- 3- 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
17484d |
Isogeny class |
Conductor |
17484 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
4224 |
Modular degree for the optimal curve |
Δ |
-9860976 = -1 · 24 · 32 · 31 · 472 |
Discriminant |
Eigenvalues |
2- 3- -3 3 -2 0 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-222,-1359] |
[a1,a2,a3,a4,a6] |
Generators |
[30:141:1] |
Generators of the group modulo torsion |
j |
-75965686528/616311 |
j-invariant |
L |
5.3823676219736 |
L(r)(E,1)/r! |
Ω |
0.61788561604369 |
Real period |
R |
0.72591208391676 |
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 |
69936s1 52452c1 |
Quadratic twists by: -4 -3 |