Atkin-Lehner |
2- 3- 7- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
126126fs |
Isogeny class |
Conductor |
126126 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
544320 |
Modular degree for the optimal curve |
Δ |
-66326715078624 = -1 · 25 · 36 · 76 · 11 · 133 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11- 13+ 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2876,397023] |
[a1,a2,a3,a4,a6] |
Generators |
[17:585:1] |
Generators of the group modulo torsion |
j |
-30664297/773344 |
j-invariant |
L |
14.587268730589 |
L(r)(E,1)/r! |
Ω |
0.51862046044024 |
Real period |
R |
2.8127059877545 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999904485 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14014b1 2574y1 |
Quadratic twists by: -3 -7 |