Atkin-Lehner |
2+ 3- 29- |
Signs for the Atkin-Lehner involutions |
Class |
40368q |
Isogeny class |
Conductor |
40368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-74923008 = -1 · 210 · 3 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-48,420] |
[a1,a2,a3,a4,a6] |
Generators |
[26:132:1] |
Generators of the group modulo torsion |
j |
-500/3 |
j-invariant |
L |
7.9599400484785 |
L(r)(E,1)/r! |
Ω |
1.6729358083007 |
Real period |
R |
2.3790333164558 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20184c1 121104t1 40368f1 |
Quadratic twists by: -4 -3 29 |