Atkin-Lehner |
2+ 3- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
74448j |
Isogeny class |
Conductor |
74448 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
835584 |
Modular degree for the optimal curve |
Δ |
-16613384005481472 = -1 · 210 · 322 · 11 · 47 |
Discriminant |
Eigenvalues |
2+ 3- 4 3 11+ -3 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-169203,-27497630] |
[a1,a2,a3,a4,a6] |
Generators |
[2352241197495:639185819351710:31855013] |
Generators of the group modulo torsion |
j |
-717662748196804/22255154757 |
j-invariant |
L |
10.356154109608 |
L(r)(E,1)/r! |
Ω |
0.1174829626914 |
Real period |
R |
22.037565857124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
37224i1 24816h1 |
Quadratic twists by: -4 -3 |