Atkin-Lehner |
2- 3- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
31824bl |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
394394832 = 24 · 38 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -4 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,-1757] |
[a1,a2,a3,a4,a6] |
Generators |
[197:2754:1] |
Generators of the group modulo torsion |
j |
256000000/33813 |
j-invariant |
L |
5.2468759660847 |
L(r)(E,1)/r! |
Ω |
1.157154576707 |
Real period |
R |
2.2671456656275 |
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 |
7956f1 127296cl1 10608y1 |
Quadratic twists by: -4 8 -3 |