Atkin-Lehner |
2- 3+ 5+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
124080be |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
349409280 = 212 · 3 · 5 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -2 11+ 6 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-176,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:22:1] |
Generators of the group modulo torsion |
j |
148035889/85305 |
j-invariant |
L |
4.7872755407097 |
L(r)(E,1)/r! |
Ω |
1.4271264669856 |
Real period |
R |
1.6772429409296 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999072102 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7755f1 |
Quadratic twists by: -4 |