Atkin-Lehner |
2- 3+ 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470dt |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
1617408 |
Modular degree for the optimal curve |
Δ |
944310275897625000 = 23 · 33 · 56 · 73 · 138 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 3 13+ 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-443657,-103577119] |
[a1,a2,a3,a4,a6] |
j |
438484480083/42875000 |
j-invariant |
L |
6.7013515067523 |
L(r)(E,1)/r! |
Ω |
0.18614866903245 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
106470h2 106470d1 |
Quadratic twists by: -3 13 |