Atkin-Lehner |
3- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
18525m |
Isogeny class |
Conductor |
18525 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1935725009765625 = 32 · 510 · 132 · 194 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 -4 13+ 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-76001,-7787977] |
[a1,a2,a3,a4,a6] |
Generators |
[22281:3314467:1] |
Generators of the group modulo torsion |
j |
3107086841064961/123886400625 |
j-invariant |
L |
6.8930420426508 |
L(r)(E,1)/r! |
Ω |
0.28824491469852 |
Real period |
R |
5.9784593683641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
55575m2 3705e2 |
Quadratic twists by: -3 5 |