Atkin-Lehner |
2- 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72450eu |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
28753920 |
Modular degree for the optimal curve |
Δ |
1.4153057590839E+26 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-277634660,1686131800967] |
[a1,a2,a3,a4,a6] |
j |
25972109021989398244375853/1553147609419912052736 |
j-invariant |
L |
2.744784197271 |
L(r)(E,1)/r! |
Ω |
0.057183004418276 |
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 |
24150bk1 72450cg1 |
Quadratic twists by: -3 5 |