Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
121968gg |
Isogeny class |
Conductor |
121968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-159335092224 = -1 · 212 · 38 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 11- -7 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,429,18898] |
[a1,a2,a3,a4,a6] |
Generators |
[47:378:1] |
Generators of the group modulo torsion |
j |
24167/441 |
j-invariant |
L |
9.0511729027568 |
L(r)(E,1)/r! |
Ω |
0.76309356141993 |
Real period |
R |
1.4826446837894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000006818 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7623g1 40656do1 121968eu1 |
Quadratic twists by: -4 -3 -11 |