Atkin-Lehner |
2+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
11872b |
Isogeny class |
Conductor |
11872 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-563777536 = -1 · 212 · 72 · 532 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 0 -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,191,591] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:20:1] [1:28:1] |
Generators of the group modulo torsion |
j |
187149248/137641 |
j-invariant |
L |
4.4052404196889 |
L(r)(E,1)/r! |
Ω |
1.0441461668098 |
Real period |
R |
1.0547470650466 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11872d2 23744s1 106848bk2 83104b2 |
Quadratic twists by: -4 8 -3 -7 |