Atkin-Lehner |
2- 3+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
124872x |
Isogeny class |
Conductor |
124872 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
131403708924048 = 24 · 34 · 119 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 2 -3 11+ -2 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47472,-3926943] |
[a1,a2,a3,a4,a6] |
Generators |
[-1046:1331:8] |
Generators of the group modulo torsion |
j |
313611008/3483 |
j-invariant |
L |
5.864625620208 |
L(r)(E,1)/r! |
Ω |
0.32365391583606 |
Real period |
R |
2.2650064422671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999739777 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
124872b1 |
Quadratic twists by: -11 |