Atkin-Lehner |
7+ 11- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17017a |
Isogeny class |
Conductor |
17017 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
949760 |
Modular degree for the optimal curve |
Δ |
-1.9167558578323E+20 |
Discriminant |
Eigenvalues |
0 -2 3 7+ 11- 13+ 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-9611889,-11492472171] |
[a1,a2,a3,a4,a6] |
Generators |
[6621:463853:1] |
Generators of the group modulo torsion |
j |
-98208708041747682089500672/191675585783228606059 |
j-invariant |
L |
3.3146867051146 |
L(r)(E,1)/r! |
Ω |
0.042866356755915 |
Real period |
R |
2.4164395431281 |
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 |
119119k1 |
Quadratic twists by: -7 |