Atkin-Lehner |
2+ 3+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
121032b |
Isogeny class |
Conductor |
121032 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
33881213952 = 210 · 39 · 412 |
Discriminant |
Eigenvalues |
2+ 3+ -4 2 1 3 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1107,11070] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:108:1] |
Generators of the group modulo torsion |
j |
4428 |
j-invariant |
L |
5.6600388638784 |
L(r)(E,1)/r! |
Ω |
1.0971864740279 |
Real period |
R |
1.2896711300632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999725793 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
121032j1 121032c1 |
Quadratic twists by: -3 41 |