Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
106470es |
Isogeny class |
Conductor |
106470 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1797120 |
Modular degree for the optimal curve |
Δ |
-687477657730500000 = -1 · 25 · 319 · 56 · 7 · 132 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -2 13+ 5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-136103,44361087] |
[a1,a2,a3,a4,a6] |
j |
-2263130418396289/5580130500000 |
j-invariant |
L |
5.0697680855226 |
L(r)(E,1)/r! |
Ω |
0.25348839572463 |
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 |
35490t1 106470ch1 |
Quadratic twists by: -3 13 |