Atkin-Lehner |
2- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
36848n |
Isogeny class |
Conductor |
36848 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
730244037533696 = 213 · 79 · 472 |
Discriminant |
Eigenvalues |
2- -2 2 7- 4 2 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-63912,6060340] |
[a1,a2,a3,a4,a6] |
Generators |
[-180:3430:1] |
Generators of the group modulo torsion |
j |
174676879/4418 |
j-invariant |
L |
4.629663978414 |
L(r)(E,1)/r! |
Ω |
0.50570702005444 |
Real period |
R |
2.2887085777034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4606g2 36848w2 |
Quadratic twists by: -4 -7 |