Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
50400cy |
Isogeny class |
Conductor |
50400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-80015040000000 = -1 · 212 · 36 · 57 · 73 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -1 -3 -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-13800,-758000] |
[a1,a2,a3,a4,a6] |
Generators |
[4080:260500:1] |
Generators of the group modulo torsion |
j |
-6229504/1715 |
j-invariant |
L |
4.9347745464664 |
L(r)(E,1)/r! |
Ω |
0.21713252109547 |
Real period |
R |
5.6817543055697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50400bg1 100800df1 5600b1 10080ba1 |
Quadratic twists by: -4 8 -3 5 |