Atkin-Lehner |
2+ 3- 7- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
31878v |
Isogeny class |
Conductor |
31878 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
7.3720715600095E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-619893846,5940669888954] |
[a1,a2,a3,a4,a6] |
Generators |
[17683:-721669:1] |
Generators of the group modulo torsion |
j |
36136672427711016379227705697/1011258101510224722 |
j-invariant |
L |
4.8119547466415 |
L(r)(E,1)/r! |
Ω |
0.11701338082057 |
Real period |
R |
1.2850973519271 |
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 |
10626r5 |
Quadratic twists by: -3 |