Atkin-Lehner |
2+ 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
22848q |
Isogeny class |
Conductor |
22848 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11264 |
Modular degree for the optimal curve |
Δ |
159936 = 26 · 3 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3332,-72930] |
[a1,a2,a3,a4,a6] |
Generators |
[67:10:1] |
Generators of the group modulo torsion |
j |
63942417278272/2499 |
j-invariant |
L |
5.7873988059725 |
L(r)(E,1)/r! |
Ω |
0.62836566491895 |
Real period |
R |
4.6051201784864 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
22848bd1 11424k2 68544cb1 |
Quadratic twists by: -4 8 -3 |