Atkin-Lehner |
2- 3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126dq |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-72017819874 = -1 · 2 · 33 · 72 · 115 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- 11+ 13+ -7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,757,-10307] |
[a1,a2,a3,a4,a6] |
Generators |
[214:1241:8] |
Generators of the group modulo torsion |
j |
36306906237/54435238 |
j-invariant |
L |
9.1117960659244 |
L(r)(E,1)/r! |
Ω |
0.57883717095822 |
Real period |
R |
3.9353882686022 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019584 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126126s1 126126di1 |
Quadratic twists by: -3 -7 |