Atkin-Lehner |
2- 3- 17+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
123624m |
Isogeny class |
Conductor |
123624 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
62976 |
Modular degree for the optimal curve |
Δ |
340460496 = 24 · 36 · 172 · 101 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 6 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-354,2405] |
[a1,a2,a3,a4,a6] |
j |
420616192/29189 |
j-invariant |
L |
3.350443618411 |
L(r)(E,1)/r! |
Ω |
1.6752229820086 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13736a1 |
Quadratic twists by: -3 |