Atkin-Lehner |
2- 3+ 7+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74256bl |
Isogeny class |
Conductor |
74256 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
763776 |
Modular degree for the optimal curve |
Δ |
-5839214262755328 = -1 · 213 · 313 · 7 · 13 · 173 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ -2 13+ 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-178480,29313856] |
[a1,a2,a3,a4,a6] |
j |
-153509362902771121/1425589419618 |
j-invariant |
L |
0.85671690702244 |
L(r)(E,1)/r! |
Ω |
0.42835844161622 |
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 |
9282w1 |
Quadratic twists by: -4 |