Atkin-Lehner |
2- 3- 5+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
19530bx |
Isogeny class |
Conductor |
19530 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
-36792842554238400 = -1 · 26 · 38 · 52 · 76 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,9112,9220331] |
[a1,a2,a3,a4,a6] |
Generators |
[-185:1177:1] |
Generators of the group modulo torsion |
j |
114784170265799/50470291569600 |
j-invariant |
L |
7.4544638057419 |
L(r)(E,1)/r! |
Ω |
0.28428528451401 |
Real period |
R |
2.1851476350847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
6510k3 97650ba3 |
Quadratic twists by: -3 5 |