Atkin-Lehner |
2- 3- 7+ 11+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
73458w |
Isogeny class |
Conductor |
73458 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
716800 |
Modular degree for the optimal curve |
Δ |
-82671325654836996 = -1 · 22 · 316 · 77 · 11 · 53 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 11+ -5 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,104683,-4653903] |
[a1,a2,a3,a4,a6] |
Generators |
[9452485:226557414:42875] |
Generators of the group modulo torsion |
j |
174031776553034231/113403738895524 |
j-invariant |
L |
9.2009770089035 |
L(r)(E,1)/r! |
Ω |
0.19520555449896 |
Real period |
R |
11.783702865614 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001272 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24486b1 |
Quadratic twists by: -3 |