Atkin-Lehner |
2+ 3+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600s |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-445824000 = -1 · 210 · 34 · 53 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 4 -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-48,-1008] |
[a1,a2,a3,a4,a6] |
Generators |
[22:90:1] |
Generators of the group modulo torsion |
j |
-97556/3483 |
j-invariant |
L |
5.4180041378965 |
L(r)(E,1)/r! |
Ω |
0.72839014137647 |
Real period |
R |
1.8595817784037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25800s1 51600bc1 |
Quadratic twists by: -4 5 |