Atkin-Lehner |
2+ 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
22848bd |
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 |
[3012:9615:64] |
Generators of the group modulo torsion |
j |
63942417278272/2499 |
j-invariant |
L |
7.0737850181075 |
L(r)(E,1)/r! |
Ω |
2.3967155899497 |
Real period |
R |
5.9028989904105 |
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 |
22848q1 11424m3 68544bg1 |
Quadratic twists by: -4 8 -3 |