Atkin-Lehner |
2- 3+ 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
63600cr |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
244224000 = 212 · 32 · 53 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 -4 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-168,432] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:24:1] [-4:32:1] |
Generators of the group modulo torsion |
j |
1030301/477 |
j-invariant |
L |
8.5161647285041 |
L(r)(E,1)/r! |
Ω |
1.5713837647751 |
Real period |
R |
1.3548830208467 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999914 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3975n1 63600dj1 |
Quadratic twists by: -4 5 |