Atkin-Lehner |
2+ 3- 7+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
31416g |
Isogeny class |
Conductor |
31416 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-3.8620525692861E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 11+ 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6537112,6437965232] |
[a1,a2,a3,a4,a6] |
Generators |
[1399:5712:1] |
Generators of the group modulo torsion |
j |
-15085218449276348499506/18857678560967169 |
j-invariant |
L |
7.8219354606447 |
L(r)(E,1)/r! |
Ω |
0.20425066424549 |
Real period |
R |
3.1913137588149 |
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 |
62832n2 94248w2 |
Quadratic twists by: -4 -3 |