Atkin-Lehner |
2+ 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
127050eb |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-106766467500 = -1 · 22 · 3 · 54 · 76 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 11- -5 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-16426,809048] |
[a1,a2,a3,a4,a6] |
Generators |
[36:496:1] [63:127:1] |
Generators of the group modulo torsion |
j |
-6480608299825/1411788 |
j-invariant |
L |
10.328441267762 |
L(r)(E,1)/r! |
Ω |
1.029553946499 |
Real period |
R |
2.507989333563 |
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 |
127050gh2 127050jm2 |
Quadratic twists by: 5 -11 |