Atkin-Lehner |
2- 3+ 7+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126de |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
-15425714304 = -1 · 27 · 33 · 74 · 11 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 11+ 13+ -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-83,6003] |
[a1,a2,a3,a4,a6] |
Generators |
[-1:-78:1] [-138:429:8] |
Generators of the group modulo torsion |
j |
-964467/237952 |
j-invariant |
L |
16.865180631416 |
L(r)(E,1)/r! |
Ω |
1.0128661553032 |
Real period |
R |
0.19822555908931 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990132 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126b1 126126dw1 |
Quadratic twists by: -3 -7 |