Atkin-Lehner |
2+ 5+ 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
17290a |
Isogeny class |
Conductor |
17290 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
158720 |
Modular degree for the optimal curve |
Δ |
1352710554650000 = 24 · 55 · 78 · 13 · 192 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ -4 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-308735,66081341] |
[a1,a2,a3,a4,a6] |
Generators |
[310:149:1] |
Generators of the group modulo torsion |
j |
3254483714565904234569/1352710554650000 |
j-invariant |
L |
2.4182501637152 |
L(r)(E,1)/r! |
Ω |
0.47363975257153 |
Real period |
R |
2.5528369932905 |
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 |
86450bi1 121030s1 |
Quadratic twists by: 5 -7 |