Atkin-Lehner |
2- 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656bx |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
93671424 = 212 · 33 · 7 · 112 |
Discriminant |
Eigenvalues |
2- 3+ -3 7- 11- 4 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-117,189] |
[a1,a2,a3,a4,a6] |
j |
360448/189 |
j-invariant |
L |
1.6710012068106 |
L(r)(E,1)/r! |
Ω |
1.6710012068354 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2541j1 121968gd1 40656bo1 |
Quadratic twists by: -4 -3 -11 |