Atkin-Lehner |
2- 3- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
52998s |
Isogeny class |
Conductor |
52998 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
Δ |
3625209050496 = 27 · 3 · 116 · 732 |
Discriminant |
Eigenvalues |
2- 3- 2 2 11- -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-247992,47513280] |
[a1,a2,a3,a4,a6] |
Generators |
[290:-70:1] |
Generators of the group modulo torsion |
j |
952095963508633/2046336 |
j-invariant |
L |
14.027469923377 |
L(r)(E,1)/r! |
Ω |
0.679563477577 |
Real period |
R |
2.9488404555072 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
438e2 |
Quadratic twists by: -11 |