Atkin-Lehner |
2+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
123200l |
Isogeny class |
Conductor |
123200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
131183360000000000 = 217 · 510 · 7 · 114 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11- -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-130700,5206000] |
[a1,a2,a3,a4,a6] |
j |
120564797922/64054375 |
j-invariant |
L |
2.3054320309356 |
L(r)(E,1)/r! |
Ω |
0.28817911031598 |
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 |
123200fe3 15400b3 24640l3 |
Quadratic twists by: -4 8 5 |