Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
22848s |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
8 |
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] |
Generators |
[137:1600:1] |
Generators of the group modulo torsion |
j |
415292/9639 |
j-invariant |
L |
5.0826725585868 |
L(r)(E,1)/r! |
Ω |
0.78651056987629 |
Real period |
R |
3.2311533711405 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22848cp1 2856d1 68544cd1 |
Quadratic twists by: -4 8 -3 |