Atkin-Lehner |
17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
29189d |
Isogeny class |
Conductor |
29189 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
3461461527070933 = 1711 · 101 |
Discriminant |
Eigenvalues |
-2 1 4 -3 3 -1 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-173496,27613048] |
[a1,a2,a3,a4,a6] |
j |
23927707242496/143405557 |
j-invariant |
L |
1.7907402823677 |
L(r)(E,1)/r! |
Ω |
0.44768507059142 |
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 |
1717c1 |
Quadratic twists by: 17 |