Atkin-Lehner |
2- 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
102312bi |
Isogeny class |
Conductor |
102312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
156672 |
Modular degree for the optimal curve |
Δ |
2007243576576 = 28 · 38 · 72 · 293 |
Discriminant |
Eigenvalues |
2- 3- -1 7- 0 5 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15708,-754684] |
[a1,a2,a3,a4,a6] |
j |
46873007104/219501 |
j-invariant |
L |
1.7062853214075 |
L(r)(E,1)/r! |
Ω |
0.42657138595377 |
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 |
34104j1 102312ba1 |
Quadratic twists by: -3 -7 |