Atkin-Lehner |
2+ 7- 53- |
Signs for the Atkin-Lehner involutions |
Class |
11872c |
Isogeny class |
Conductor |
11872 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
Δ |
3192523264 = 29 · 76 · 53 |
Discriminant |
Eigenvalues |
2+ 0 -2 7- 0 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-451,2490] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:42:1] |
Generators of the group modulo torsion |
j |
19814511816/6235397 |
j-invariant |
L |
3.7536566557592 |
L(r)(E,1)/r! |
Ω |
1.311215872984 |
Real period |
R |
1.9084864834738 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11872a2 23744bd2 106848be2 83104d2 |
Quadratic twists by: -4 8 -3 -7 |