Atkin-Lehner |
5+ 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
24805a |
Isogeny class |
Conductor |
24805 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
1815850025 = 52 · 116 · 41 |
Discriminant |
Eigenvalues |
1 2 5+ -2 11- -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2543,48272] |
[a1,a2,a3,a4,a6] |
j |
1027243729/1025 |
j-invariant |
L |
1.4784246689995 |
L(r)(E,1)/r! |
Ω |
1.4784246689994 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
124025f1 205b1 |
Quadratic twists by: 5 -11 |