Atkin-Lehner |
2+ 3+ 7+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74256h |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
668160 |
Modular degree for the optimal curve |
Δ |
-3292111472622336 = -1 · 28 · 310 · 73 · 133 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 6 13- 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-103017,-12988251] |
[a1,a2,a3,a4,a6] |
j |
-472296424683977728/12859810439931 |
j-invariant |
L |
1.5963409122961 |
L(r)(E,1)/r! |
Ω |
0.13302840970842 |
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 |
37128o1 |
Quadratic twists by: -4 |