Atkin-Lehner |
3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
1785i |
Isogeny class |
Conductor |
1785 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
12646127025 = 36 · 52 · 74 · 172 |
Discriminant |
Eigenvalues |
1 3- 5+ 7+ 0 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1404,-19619] |
[a1,a2,a3,a4,a6] |
j |
305759741604409/12646127025 |
j-invariant |
L |
2.3459740913709 |
L(r)(E,1)/r! |
Ω |
0.78199136379032 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
28560cn2 114240bo2 5355m2 8925i2 |
Quadratic twists by: -4 8 -3 5 |