Atkin-Lehner |
2+ 3- 5- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
119520k |
Isogeny class |
Conductor |
119520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
7260840000 = 26 · 37 · 54 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 -4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-597,-3836] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:40:1] |
Generators of the group modulo torsion |
j |
504358336/155625 |
j-invariant |
L |
7.5734562085375 |
L(r)(E,1)/r! |
Ω |
0.98910859301336 |
Real period |
R |
1.9142125365235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999123519 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119520w1 39840k1 |
Quadratic twists by: -4 -3 |