Atkin-Lehner |
2+ 3- 19+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
72048g |
Isogeny class |
Conductor |
72048 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
22656 |
Modular degree for the optimal curve |
Δ |
-449651568 = -1 · 24 · 3 · 19 · 793 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 4 -4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,36,-1005] |
[a1,a2,a3,a4,a6] |
j |
313611008/28103223 |
j-invariant |
L |
3.1725448079909 |
L(r)(E,1)/r! |
Ω |
0.79313619900746 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36024c1 |
Quadratic twists by: -4 |