Atkin-Lehner |
2- 3- 31+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
74772a |
Isogeny class |
Conductor |
74772 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
29952 |
Modular degree for the optimal curve |
Δ |
-1623150576 = -1 · 24 · 36 · 31 · 672 |
Discriminant |
Eigenvalues |
2- 3- -3 1 -4 0 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-309,-2851] |
[a1,a2,a3,a4,a6] |
Generators |
[73:603:1] |
Generators of the group modulo torsion |
j |
-279738112/139159 |
j-invariant |
L |
5.1086830306956 |
L(r)(E,1)/r! |
Ω |
0.55621726403105 |
Real period |
R |
0.7653908164184 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001611 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8308a1 |
Quadratic twists by: -3 |