Atkin-Lehner |
2+ 3- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
126126bd |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
-7921897032203154 = -1 · 2 · 37 · 78 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ 3- -1 7+ 11+ 13- 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-450,-4282146] |
[a1,a2,a3,a4,a6] |
Generators |
[279:4014:1] |
Generators of the group modulo torsion |
j |
-2401/1885026 |
j-invariant |
L |
4.488286587595 |
L(r)(E,1)/r! |
Ω |
0.19025041572283 |
Real period |
R |
2.948933478324 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000058094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42042cw1 126126bt1 |
Quadratic twists by: -3 -7 |