Atkin-Lehner |
2- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
5824w |
Isogeny class |
Conductor |
5824 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-73056256 = -1 · 214 · 73 · 13 |
Discriminant |
Eigenvalues |
2- -2 1 7+ 4 13- -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5,-413] |
[a1,a2,a3,a4,a6] |
Generators |
[22:103:1] |
Generators of the group modulo torsion |
j |
-1024/4459 |
j-invariant |
L |
2.916756057349 |
L(r)(E,1)/r! |
Ω |
0.88179709435912 |
Real period |
R |
3.3077406083639 |
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 |
5824m1 1456b1 52416ff1 40768cv1 |
Quadratic twists by: -4 8 -3 -7 |