Atkin-Lehner |
17- 101- |
Signs for the Atkin-Lehner involutions |
Class |
1717c |
Isogeny class |
Conductor |
1717 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
Δ |
178671708517 = 17 · 1015 |
Discriminant |
Eigenvalues |
-2 -1 -4 3 -3 -1 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-27970,-1791068] |
[a1,a2,a3,a4,a6] |
Generators |
[334:5100:1] |
Generators of the group modulo torsion |
j |
2420007089713278976/178671708517 |
j-invariant |
L |
0.97121388182141 |
L(r)(E,1)/r! |
Ω |
0.36917056661211 |
Real period |
R |
0.52615997571761 |
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 |
27472m2 109888i2 15453d2 42925e2 |
Quadratic twists by: -4 8 -3 5 |