Atkin-Lehner |
3+ 7+ 13+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
18291a |
Isogeny class |
Conductor |
18291 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3.796212475555E+19 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ 0 13+ 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,639807,221793714] |
[a1,a2,a3,a4,a6] |
Generators |
[-7944:81211:27] |
Generators of the group modulo torsion |
j |
28964806505311826315375/37962124755550154523 |
j-invariant |
L |
2.1477226649207 |
L(r)(E,1)/r! |
Ω |
0.13803889180407 |
Real period |
R |
7.7794114283718 |
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 |
54873i2 128037j2 |
Quadratic twists by: -3 -7 |