Atkin-Lehner |
2+ 3+ 5+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
119520a |
Isogeny class |
Conductor |
119520 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
2241000000 = 26 · 33 · 56 · 83 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -2 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-333,-532] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:40:1] |
Generators of the group modulo torsion |
j |
2363266368/1296875 |
j-invariant |
L |
6.5993463031306 |
L(r)(E,1)/r! |
Ω |
1.1946094719957 |
Real period |
R |
2.7621354342283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999667 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119520l1 119520n1 |
Quadratic twists by: -4 -3 |