Atkin-Lehner |
2- 3+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050fs |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
-1544300690625000 = -1 · 23 · 35 · 58 · 75 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11- 5 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,28812,-165219] |
[a1,a2,a3,a4,a6] |
Generators |
[2715:140417:1] |
Generators of the group modulo torsion |
j |
1399064033279/816820200 |
j-invariant |
L |
9.8842359690624 |
L(r)(E,1)/r! |
Ω |
0.28092103364053 |
Real period |
R |
5.8641840824931 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000046122 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25410bl1 127050bl1 |
Quadratic twists by: 5 -11 |