Atkin-Lehner |
2- 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656do |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-218566656 = -1 · 212 · 32 · 72 · 112 |
Discriminant |
Eigenvalues |
2- 3- -3 7- 11- -7 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,48,-684] |
[a1,a2,a3,a4,a6] |
Generators |
[12:-42:1] |
Generators of the group modulo torsion |
j |
24167/441 |
j-invariant |
L |
4.9835146069259 |
L(r)(E,1)/r! |
Ω |
0.86319810513241 |
Real period |
R |
0.72166438058861 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2541c1 121968gg1 40656ct1 |
Quadratic twists by: -4 -3 -11 |