Atkin-Lehner |
2- 3+ 7- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
41412b |
Isogeny class |
Conductor |
41412 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
479520 |
Modular degree for the optimal curve |
Δ |
76339254720709008 = 24 · 39 · 7 · 175 · 293 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- -4 2 17+ 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-151646,18487833] |
[a1,a2,a3,a4,a6] |
j |
24104574593008132864/4771203420044313 |
j-invariant |
L |
2.9361371801858 |
L(r)(E,1)/r! |
Ω |
0.32623746446526 |
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 |
124236v1 |
Quadratic twists by: -3 |