Atkin-Lehner |
3- 5+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
19425s |
Isogeny class |
Conductor |
19425 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1493805294326953125 = 316 · 58 · 74 · 37 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-290776,-13602427] |
[a1,a2,a3,a4,a6] |
Generators |
[-89:3446:1] |
Generators of the group modulo torsion |
j |
174011204426291569/95603538836925 |
j-invariant |
L |
7.5538807799322 |
L(r)(E,1)/r! |
Ω |
0.21981875467092 |
Real period |
R |
1.0738791361378 |
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 |
58275s3 3885a3 |
Quadratic twists by: -3 5 |