Atkin-Lehner |
2- 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
31800q |
Isogeny class |
Conductor |
31800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
9540000000 = 28 · 32 · 57 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19908,1087812] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:1200:1] |
Generators of the group modulo torsion |
j |
218156637904/2385 |
j-invariant |
L |
4.6377592609064 |
L(r)(E,1)/r! |
Ω |
1.1726263321345 |
Real period |
R |
1.9775094306745 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63600q1 95400d1 6360d1 |
Quadratic twists by: -4 -3 5 |