Atkin-Lehner |
2+ 5+ 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
59450f |
Isogeny class |
Conductor |
59450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-74308710062500 = -1 · 22 · 56 · 294 · 412 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 2 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-17426,976248] |
[a1,a2,a3,a4,a6] |
Generators |
[143:-1261:1] |
Generators of the group modulo torsion |
j |
-37450790494993/4755757444 |
j-invariant |
L |
2.9949802714319 |
L(r)(E,1)/r! |
Ω |
0.59488918436371 |
Real period |
R |
0.31465737127548 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000662 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2378d2 |
Quadratic twists by: 5 |