Atkin-Lehner |
2+ 3+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17238c |
Isogeny class |
Conductor |
17238 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-100532016 = -1 · 24 · 37 · 132 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ -3 2 5 13+ 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1589,-25059] |
[a1,a2,a3,a4,a6] |
j |
-2628062448817/594864 |
j-invariant |
L |
0.75609627983124 |
L(r)(E,1)/r! |
Ω |
0.37804813991562 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51714q1 17238m1 |
Quadratic twists by: -3 13 |