Atkin-Lehner |
2+ 3- 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
31800m |
Isogeny class |
Conductor |
31800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
2225491200 = 28 · 38 · 52 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 1 2 -5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-433,2483] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:-54:1] |
Generators of the group modulo torsion |
j |
1406080000/347733 |
j-invariant |
L |
7.5147765634224 |
L(r)(E,1)/r! |
Ω |
1.3703643619318 |
Real period |
R |
0.17136812232617 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63600c1 95400w1 31800t1 |
Quadratic twists by: -4 -3 5 |