Atkin-Lehner |
3- 5+ 7- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
126945k |
Isogeny class |
Conductor |
126945 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1265664 |
Modular degree for the optimal curve |
Δ |
-98480856737263455 = -1 · 314 · 5 · 73 · 13 · 314 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-229343,-44832234] |
[a1,a2,a3,a4,a6] |
j |
-1829999099215322281/135090338459895 |
j-invariant |
L |
1.3034361749953 |
L(r)(E,1)/r! |
Ω |
0.10861975367337 |
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 |
42315b1 |
Quadratic twists by: -3 |