Atkin-Lehner |
2+ 5+ 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
119350d |
Isogeny class |
Conductor |
119350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
737280 |
Modular degree for the optimal curve |
Δ |
-14409841600000000 = -1 · 212 · 58 · 74 · 112 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 11- 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,22708,5617616] |
[a1,a2,a3,a4,a6] |
Generators |
[109:-3117:1] [89:2843:1] |
Generators of the group modulo torsion |
j |
82876153250799/922229862400 |
j-invariant |
L |
8.3170737999024 |
L(r)(E,1)/r! |
Ω |
0.29135464068924 |
Real period |
R |
3.5682775557384 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999986162 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23870p1 |
Quadratic twists by: 5 |