Atkin-Lehner |
3- 7+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
17157f |
Isogeny class |
Conductor |
17157 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-7850068620583329 = -1 · 35 · 78 · 194 · 43 |
Discriminant |
Eigenvalues |
1 3- 2 7+ 4 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,37670,3205001] |
[a1,a2,a3,a4,a6] |
Generators |
[206:16273:8] |
Generators of the group modulo torsion |
j |
5911900899986464487/7850068620583329 |
j-invariant |
L |
7.8751455552856 |
L(r)(E,1)/r! |
Ω |
0.28018070319993 |
Real period |
R |
5.6214760440986 |
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 |
51471e3 120099k3 |
Quadratic twists by: -3 -7 |