Atkin-Lehner |
2- 3+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
51600cf |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-3715200000000 = -1 · 213 · 33 · 58 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 0 -4 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3208,-115088] |
[a1,a2,a3,a4,a6] |
Generators |
[92:600:1] |
Generators of the group modulo torsion |
j |
-2282665/2322 |
j-invariant |
L |
4.2067585376465 |
L(r)(E,1)/r! |
Ω |
0.30472990971123 |
Real period |
R |
1.1504063116278 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999139 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6450s1 51600df1 |
Quadratic twists by: -4 5 |