Atkin-Lehner |
2- 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
22848cp |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
-631701504 = -1 · 216 · 34 · 7 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 6 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,63,1215] |
[a1,a2,a3,a4,a6] |
j |
415292/9639 |
j-invariant |
L |
4.8637068927577 |
L(r)(E,1)/r! |
Ω |
1.2159267231894 |
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 |
22848s1 5712c1 68544dr1 |
Quadratic twists by: -4 8 -3 |