Atkin-Lehner |
7+ 11- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
31339b |
Isogeny class |
Conductor |
31339 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
2.6201280289295E+19 |
Discriminant |
Eigenvalues |
1 2 -2 7+ 11- -4 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-103907421,407635278230] |
[a1,a2,a3,a4,a6] |
j |
70033737623583421776817/14789939657339 |
j-invariant |
L |
0.33532814550157 |
L(r)(E,1)/r! |
Ω |
0.16766407275285 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2849a2 |
Quadratic twists by: -11 |