Atkin-Lehner |
2+ 3- 5- 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
17670g |
Isogeny class |
Conductor |
17670 |
Conductor |
∏ cp |
21 |
Product of Tamagawa factors cp |
deg |
1441440 |
Modular degree for the optimal curve |
Δ |
476180093952000 = 213 · 37 · 53 · 193 · 31 |
Discriminant |
Eigenvalues |
2+ 3- 5- -5 5 -1 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-54552328,155079827798] |
[a1,a2,a3,a4,a6] |
Generators |
[4264:-2110:1] |
Generators of the group modulo torsion |
j |
17954096979299341412228058361/476180093952000 |
j-invariant |
L |
4.1074262214626 |
L(r)(E,1)/r! |
Ω |
0.27638625006476 |
Real period |
R |
0.70767530868747 |
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 |
53010bn1 88350bw1 |
Quadratic twists by: -3 5 |