Atkin-Lehner |
2+ 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
101136l |
Isogeny class |
Conductor |
101136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
129024 |
Modular degree for the optimal curve |
Δ |
217573472256 = 211 · 3 · 77 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -1 7- 4 1 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13736,614676] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:882:1] |
Generators of the group modulo torsion |
j |
1189646642/903 |
j-invariant |
L |
8.0919018727127 |
L(r)(E,1)/r! |
Ω |
0.98901373405603 |
Real period |
R |
2.0454473002629 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999798827 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50568f1 14448b1 |
Quadratic twists by: -4 -7 |