Atkin-Lehner |
2- 3+ 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
18768l |
Isogeny class |
Conductor |
18768 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-22139633664 = -1 · 221 · 33 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 3+ -1 0 6 -6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2896,-59456] |
[a1,a2,a3,a4,a6] |
Generators |
[666:4153:8] |
Generators of the group modulo torsion |
j |
-656008386769/5405184 |
j-invariant |
L |
3.9826657849601 |
L(r)(E,1)/r! |
Ω |
0.32523242115995 |
Real period |
R |
6.1227994594692 |
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 |
2346i1 75072cu1 56304bm1 |
Quadratic twists by: -4 8 -3 |