Atkin-Lehner |
2+ 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
12144a |
Isogeny class |
Conductor |
12144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1792 |
Modular degree for the optimal curve |
Δ |
4663296 = 211 · 32 · 11 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -1 -3 11+ -5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-56,144] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:12:1] [0:12:1] |
Generators of the group modulo torsion |
j |
9653618/2277 |
j-invariant |
L |
4.9887982301132 |
L(r)(E,1)/r! |
Ω |
2.2967753918887 |
Real period |
R |
0.27151099796978 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6072i1 48576ds1 36432m1 |
Quadratic twists by: -4 8 -3 |