Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17238f |
Isogeny class |
Conductor |
17238 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
130617332294436 = 22 · 34 · 136 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-293050,-61082344] |
[a1,a2,a3,a4,a6] |
Generators |
[742:11036:1] |
Generators of the group modulo torsion |
j |
576615941610337/27060804 |
j-invariant |
L |
5.4128276303566 |
L(r)(E,1)/r! |
Ω |
0.20519440922443 |
Real period |
R |
3.2973776252088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
51714p4 102b3 |
Quadratic twists by: -3 13 |