Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
63600cj |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
140673024000 = 218 · 34 · 53 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5- -2 -4 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7368,245232] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:576:1] |
Generators of the group modulo torsion |
j |
86409510461/274752 |
j-invariant |
L |
3.8201070778595 |
L(r)(E,1)/r! |
Ω |
1.0381724956431 |
Real period |
R |
0.91991145350503 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000093 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7950x1 63600dq1 |
Quadratic twists by: -4 5 |