Atkin-Lehner |
2- 7- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38318w |
Isogeny class |
Conductor |
38318 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
20608340032 = 26 · 77 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 0 0 7- 0 -4 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2925,-59755] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:20:1] |
Generators of the group modulo torsion |
j |
23516564625/175168 |
j-invariant |
L |
7.9500824978446 |
L(r)(E,1)/r! |
Ω |
0.64949334445347 |
Real period |
R |
2.0400728674991 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5474d1 |
Quadratic twists by: -7 |