Atkin-Lehner |
2- 11- 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
43472x |
Isogeny class |
Conductor |
43472 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
564480 |
Modular degree for the optimal curve |
Δ |
-2025797268538261504 = -1 · 217 · 117 · 133 · 192 |
Discriminant |
Eigenvalues |
2- 0 3 -3 11- 13- -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,315949,-4107118] |
[a1,a2,a3,a4,a6] |
Generators |
[103:5434:1] |
Generators of the group modulo torsion |
j |
851558953435614423/494579411264224 |
j-invariant |
L |
6.2780293006823 |
L(r)(E,1)/r! |
Ω |
0.15512866667713 |
Real period |
R |
0.4817835778298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5434d1 |
Quadratic twists by: -4 |