Atkin-Lehner |
2- 3- 29+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
42804g |
Isogeny class |
Conductor |
42804 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
76032 |
Modular degree for the optimal curve |
Δ |
-12911389485552 = -1 · 24 · 39 · 293 · 412 |
Discriminant |
Eigenvalues |
2- 3- 2 -1 5 -5 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5889,-245243] |
[a1,a2,a3,a4,a6] |
j |
-1936425816832/1106943543 |
j-invariant |
L |
2.1238875718711 |
L(r)(E,1)/r! |
Ω |
0.26548594649303 |
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 |
14268e1 |
Quadratic twists by: -3 |