Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
63600dw |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
83520 |
Modular degree for the optimal curve |
Δ |
-65940480000 = -1 · 213 · 35 · 54 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 -1 -6 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,992,3188] |
[a1,a2,a3,a4,a6] |
Generators |
[2:72:1] |
Generators of the group modulo torsion |
j |
42128975/25758 |
j-invariant |
L |
8.8206924234343 |
L(r)(E,1)/r! |
Ω |
0.67859004695676 |
Real period |
R |
0.64992792502359 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7950bm1 63600bu1 |
Quadratic twists by: -4 5 |