Atkin-Lehner |
2- 3+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
23664l |
Isogeny class |
Conductor |
23664 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-163565568 = -1 · 212 · 34 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3+ -2 -1 0 -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,136,48] |
[a1,a2,a3,a4,a6] |
Generators |
[2:18:1] |
Generators of the group modulo torsion |
j |
67419143/39933 |
j-invariant |
L |
3.3486417337328 |
L(r)(E,1)/r! |
Ω |
1.1065644156417 |
Real period |
R |
0.75654017208541 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1479e1 94656ce1 70992z1 |
Quadratic twists by: -4 8 -3 |