Atkin-Lehner |
2- 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
72128bu |
Isogeny class |
Conductor |
72128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-2770869248 = -1 · 210 · 76 · 23 |
Discriminant |
Eigenvalues |
2- -3 0 7- 0 -5 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10780,-430808] |
[a1,a2,a3,a4,a6] |
Generators |
[4431:40229:27] |
Generators of the group modulo torsion |
j |
-1149984000/23 |
j-invariant |
L |
2.6534258631856 |
L(r)(E,1)/r! |
Ω |
0.23426874319274 |
Real period |
R |
5.6632093270306 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000844 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72128x1 18032g1 1472k1 |
Quadratic twists by: -4 8 -7 |