Atkin-Lehner |
2+ 3- 11- 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
104346x |
Isogeny class |
Conductor |
104346 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
135043520158013346 = 2 · 37 · 113 · 176 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-354771,-79300053] |
[a1,a2,a3,a4,a6] |
j |
6773937866574286897/185244883618674 |
j-invariant |
L |
2.3513589007713 |
L(r)(E,1)/r! |
Ω |
0.19594659776105 |
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 |
34782bd2 |
Quadratic twists by: -3 |