Atkin-Lehner |
2- 3- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
24150co |
Isogeny class |
Conductor |
24150 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
105656250000 = 24 · 3 · 59 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-8638,307892] |
[a1,a2,a3,a4,a6] |
j |
36495256013/54096 |
j-invariant |
L |
4.2314977195444 |
L(r)(E,1)/r! |
Ω |
1.0578744298861 |
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 |
72450by1 24150u1 |
Quadratic twists by: -3 5 |