Atkin-Lehner |
2- 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450eh |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
239157676406250000 = 24 · 310 · 510 · 72 · 232 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-189005,-21087003] |
[a1,a2,a3,a4,a6] |
j |
65553197996161/20996010000 |
j-invariant |
L |
3.7564058682764 |
L(r)(E,1)/r! |
Ω |
0.23477536729696 |
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 |
24150o2 14490l2 |
Quadratic twists by: -3 5 |