Atkin-Lehner |
3+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
67431c |
Isogeny class |
Conductor |
67431 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
21947209760852649 = 32 · 72 · 1310 · 192 |
Discriminant |
Eigenvalues |
1 3+ -2 7+ 0 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-78081,-4473360] |
[a1,a2,a3,a4,a6] |
j |
10907077259233/4546939761 |
j-invariant |
L |
0.59271341739691 |
L(r)(E,1)/r! |
Ω |
0.29635670968382 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5187b2 |
Quadratic twists by: 13 |