Atkin-Lehner |
2+ 7- 23- 37- |
Signs for the Atkin-Lehner involutions |
Class |
83398g |
Isogeny class |
Conductor |
83398 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
-1.4980601154027E+24 |
Discriminant |
Eigenvalues |
2+ 2 -3 7- -6 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-177786529,914247586869] |
[a1,a2,a3,a4,a6] |
j |
-5282409060555942439635337/12733300881458665984 |
j-invariant |
L |
1.5321590814916 |
L(r)(E,1)/r! |
Ω |
0.085119952167028 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11914e2 |
Quadratic twists by: -7 |