Atkin-Lehner |
2- 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
31800s |
Isogeny class |
Conductor |
31800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
38160000000 = 210 · 32 · 57 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 -4 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2008,34012] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:200:1] |
Generators of the group modulo torsion |
j |
55990084/2385 |
j-invariant |
L |
5.0548069358443 |
L(r)(E,1)/r! |
Ω |
1.1415694000089 |
Real period |
R |
2.2139726834851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63600v1 95400f1 6360f1 |
Quadratic twists by: -4 -3 5 |