Atkin-Lehner |
2- 3- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450dy |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
950688900000000 = 28 · 310 · 58 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 6 0 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-55130,-4742503] |
[a1,a2,a3,a4,a6] |
j |
1626794704081/83462400 |
j-invariant |
L |
5.0009867542025 |
L(r)(E,1)/r! |
Ω |
0.31256167319572 |
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 |
24150z1 14490q1 |
Quadratic twists by: -3 5 |