Atkin-Lehner |
2+ 3+ 7+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
121128b |
Isogeny class |
Conductor |
121128 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2036160 |
Modular degree for the optimal curve |
Δ |
3207832484543382864 = 24 · 3 · 78 · 1035 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7+ 4 -3 4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-429207,-65341716] |
[a1,a2,a3,a4,a6] |
Generators |
[-457:5929:1] |
Generators of the group modulo torsion |
j |
94802722674688/34778222229 |
j-invariant |
L |
4.1344951572615 |
L(r)(E,1)/r! |
Ω |
0.1922648839866 |
Real period |
R |
3.5840270222775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999805063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121128r1 |
Quadratic twists by: -7 |