Atkin-Lehner |
2- 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
40656bl |
Isogeny class |
Conductor |
40656 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
1561840896 = 28 · 3 · 75 · 112 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 11- 0 -7 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-469,3577] |
[a1,a2,a3,a4,a6] |
Generators |
[9:2:1] |
Generators of the group modulo torsion |
j |
369098752/50421 |
j-invariant |
L |
5.947515648991 |
L(r)(E,1)/r! |
Ω |
1.4473837715197 |
Real period |
R |
2.0545745247454 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10164w1 121968ev1 40656bu1 |
Quadratic twists by: -4 -3 -11 |