Atkin-Lehner |
11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
43681c |
Isogeny class |
Conductor |
43681 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-62618067611 = -1 · 113 · 196 |
Discriminant |
Eigenvalues |
0 1 -3 0 11+ 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2647,-54675] |
[a1,a2,a3,a4,a6] |
Generators |
[474:7:8] [63:180:1] |
Generators of the group modulo torsion |
j |
-32768 |
j-invariant |
L |
7.4848320358454 |
L(r)(E,1)/r! |
Ω |
0.33219042900062 |
Real period |
R |
5.6329377537781 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43681c2 121b1 |
Quadratic twists by: -11 -19 |