Atkin-Lehner |
2+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
18032j |
Isogeny class |
Conductor |
18032 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-446109948928 = -1 · 210 · 77 · 232 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 0 4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2891,67914] |
[a1,a2,a3,a4,a6] |
Generators |
[29:92:1] |
Generators of the group modulo torsion |
j |
-22180932/3703 |
j-invariant |
L |
4.0711911298659 |
L(r)(E,1)/r! |
Ω |
0.90471592355647 |
Real period |
R |
1.1249915647173 |
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 |
9016a1 72128bv1 2576h1 |
Quadratic twists by: -4 8 -7 |