Atkin-Lehner |
5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
71485d |
Isogeny class |
Conductor |
71485 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11160 |
Modular degree for the optimal curve |
Δ |
71485 = 5 · 17 · 292 |
Discriminant |
Eigenvalues |
2 -1 5+ 3 0 2 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-106,457] |
[a1,a2,a3,a4,a6] |
j |
158101504/85 |
j-invariant |
L |
3.4158916085274 |
L(r)(E,1)/r! |
Ω |
3.415891628039 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71485c1 |
Quadratic twists by: 29 |