Atkin-Lehner |
2- 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
107448ba |
Isogeny class |
Conductor |
107448 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-553193703684864 = -1 · 28 · 34 · 117 · 372 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11- 0 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6332,1146000] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:1110:1] |
Generators of the group modulo torsion |
j |
-61918288/1219779 |
j-invariant |
L |
11.386799825011 |
L(r)(E,1)/r! |
Ω |
0.43648798582385 |
Real period |
R |
1.6304572198465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016868 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9768l2 |
Quadratic twists by: -11 |