Atkin-Lehner |
2+ 3- 7- 11- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
73458n |
Isogeny class |
Conductor |
73458 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
197379372859232256 = 212 · 310 · 74 · 112 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 11- -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-148401,-5186403] |
[a1,a2,a3,a4,a6] |
j |
495802043353740817/270753597886464 |
j-invariant |
L |
2.0777746539519 |
L(r)(E,1)/r! |
Ω |
0.25972183148791 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24486n2 |
Quadratic twists by: -3 |