Atkin-Lehner |
2+ 3- 7+ 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
73458i |
Isogeny class |
Conductor |
73458 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1310720 |
Modular degree for the optimal curve |
Δ |
-6712049577347186688 = -1 · 216 · 316 · 7 · 112 · 532 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 11- 0 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-370242,-151749612] |
[a1,a2,a3,a4,a6] |
j |
-7699347005025390625/9207201066319872 |
j-invariant |
L |
0.37013944936841 |
L(r)(E,1)/r! |
Ω |
0.092534869586159 |
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 |
24486l1 |
Quadratic twists by: -3 |