Atkin-Lehner |
2+ 3- 11- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
124872r |
Isogeny class |
Conductor |
124872 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
216000 |
Modular degree for the optimal curve |
Δ |
-234016121856 = -1 · 210 · 3 · 116 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -3 3 11- -1 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13592,605856] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:876:1] |
Generators of the group modulo torsion |
j |
-153091012/129 |
j-invariant |
L |
7.1705336555388 |
L(r)(E,1)/r! |
Ω |
0.98426016039907 |
Real period |
R |
3.6426007554151 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000006687 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
1032c1 |
Quadratic twists by: -11 |