Atkin-Lehner |
2+ 3+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
57408m |
Isogeny class |
Conductor |
57408 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-417834713088 = -1 · 214 · 38 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -2 -2 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-913,33169] |
[a1,a2,a3,a4,a6] |
Generators |
[-15:208:1] [9:160:1] |
Generators of the group modulo torsion |
j |
-5142706000/25502607 |
j-invariant |
L |
7.9195128973031 |
L(r)(E,1)/r! |
Ω |
0.81922880983682 |
Real period |
R |
2.4167585423646 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57408cv2 7176p2 |
Quadratic twists by: -4 8 |