Atkin-Lehner |
2+ 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050eb |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
103680 |
Modular degree for the optimal curve |
Δ |
-6403320000 = -1 · 26 · 33 · 54 · 72 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- -5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,74,3848] |
[a1,a2,a3,a4,a6] |
Generators |
[13:77:1] [-8:56:1] |
Generators of the group modulo torsion |
j |
604175/84672 |
j-invariant |
L |
10.328441267762 |
L(r)(E,1)/r! |
Ω |
1.029553946499 |
Real period |
R |
0.27866548150701 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000003071 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050gh1 127050jm1 |
Quadratic twists by: 5 -11 |