Atkin-Lehner |
2- 3- 7+ 19+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
37506v |
Isogeny class |
Conductor |
37506 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
211968 |
Modular degree for the optimal curve |
Δ |
2133149549328 = 24 · 33 · 76 · 19 · 472 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 2 -4 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-24066,1433268] |
[a1,a2,a3,a4,a6] |
Generators |
[42:684:1] |
Generators of the group modulo torsion |
j |
1541475324643691809/2133149549328 |
j-invariant |
L |
13.436879692749 |
L(r)(E,1)/r! |
Ω |
0.8230087204685 |
Real period |
R |
1.360544483366 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
112518h1 |
Quadratic twists by: -3 |