Atkin-Lehner |
2- 3- 13- 89- |
Signs for the Atkin-Lehner involutions |
Class |
55536bi |
Isogeny class |
Conductor |
55536 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-21624385536 = -1 · 212 · 33 · 133 · 89 |
Discriminant |
Eigenvalues |
2- 3- 1 1 1 13- 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-200,7092] |
[a1,a2,a3,a4,a6] |
Generators |
[46:312:1] |
Generators of the group modulo torsion |
j |
-217081801/5279391 |
j-invariant |
L |
8.8030856853534 |
L(r)(E,1)/r! |
Ω |
1.0131667835209 |
Real period |
R |
0.24135232412451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999162 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3471c1 |
Quadratic twists by: -4 |