Atkin-Lehner |
2+ 3- 7- 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
112518m |
Isogeny class |
Conductor |
112518 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3.1889373817326E+20 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5138838,4401991156] |
[a1,a2,a3,a4,a6] |
j |
20586902709725947520353/437439970059337728 |
j-invariant |
L |
1.3733722238242 |
L(r)(E,1)/r! |
Ω |
0.17167156179821 |
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 |
37506r2 |
Quadratic twists by: -3 |