Atkin-Lehner |
2+ 3- 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450by |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
368640 |
Modular degree for the optimal curve |
Δ |
77023406250000 = 24 · 37 · 59 · 72 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 4 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-77742,-8313084] |
[a1,a2,a3,a4,a6] |
j |
36495256013/54096 |
j-invariant |
L |
2.2875153194195 |
L(r)(E,1)/r! |
Ω |
0.28593941639992 |
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 |
24150co1 72450ey1 |
Quadratic twists by: -3 5 |