Atkin-Lehner |
2+ 3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
24990bd |
Isogeny class |
Conductor |
24990 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
65280 |
Modular degree for the optimal curve |
Δ |
-1023590400000 = -1 · 217 · 3 · 55 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -6 3 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,471,48556] |
[a1,a2,a3,a4,a6] |
j |
236545752359/20889600000 |
j-invariant |
L |
0.67094400875587 |
L(r)(E,1)/r! |
Ω |
0.670944008756 |
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 |
74970dr1 124950fj1 24990i1 |
Quadratic twists by: -3 5 -7 |