Atkin-Lehner |
2+ 3- 5+ 23+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
106950s |
Isogeny class |
Conductor |
106950 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
540672 |
Modular degree for the optimal curve |
Δ |
-298701323437500 = -1 · 22 · 32 · 58 · 23 · 314 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 2 -2 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-47751,4097398] |
[a1,a2,a3,a4,a6] |
j |
-770616005574241/19116884700 |
j-invariant |
L |
2.1808576084232 |
L(r)(E,1)/r! |
Ω |
0.54521431507994 |
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 |
21390m1 |
Quadratic twists by: 5 |