Atkin-Lehner |
2- 3- 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
127050im |
Isogeny class |
Conductor |
127050 |
Conductor |
∏ cp |
936 |
Product of Tamagawa factors cp |
deg |
988416 |
Modular degree for the optimal curve |
Δ |
-243428613120000 = -1 · 213 · 36 · 54 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11+ -7 -4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-37463,2887017] |
[a1,a2,a3,a4,a6] |
Generators |
[1462:54709:1] [118:277:1] |
Generators of the group modulo torsion |
j |
-6989949220475/292626432 |
j-invariant |
L |
20.085752788516 |
L(r)(E,1)/r! |
Ω |
0.55089486979339 |
Real period |
R |
0.03895323550964 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999955514 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127050r1 127050ef1 |
Quadratic twists by: 5 -11 |