Atkin-Lehner |
2+ 11- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72358b |
Isogeny class |
Conductor |
72358 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1221120 |
Modular degree for the optimal curve |
Δ |
-172663775573682536 = -1 · 23 · 1112 · 13 · 232 |
Discriminant |
Eigenvalues |
2+ 1 -3 -5 11- 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-108540,-24280830] |
[a1,a2,a3,a4,a6] |
j |
-79823598306193/97464199976 |
j-invariant |
L |
0.50270530241409 |
L(r)(E,1)/r! |
Ω |
0.12567633321905 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6578e1 |
Quadratic twists by: -11 |