Atkin-Lehner |
2- 3+ 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
63600cm |
Isogeny class |
Conductor |
63600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
399168 |
Modular degree for the optimal curve |
Δ |
-1273871162880000 = -1 · 212 · 311 · 54 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 5- 3 4 5 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-140533,-20303363] |
[a1,a2,a3,a4,a6] |
Generators |
[836659605427008916:10923863591463993207:1614418816151231] |
Generators of the group modulo torsion |
j |
-119900719513600/497605923 |
j-invariant |
L |
6.8924245767714 |
L(r)(E,1)/r! |
Ω |
0.12325849535657 |
Real period |
R |
27.959227300449 |
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 |
3975m1 63600dh1 |
Quadratic twists by: -4 5 |