Atkin-Lehner |
2+ 5+ 17- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106930f |
Isogeny class |
Conductor |
106930 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1307232 |
Modular degree for the optimal curve |
Δ |
-35334304165897300 = -1 · 22 · 52 · 178 · 373 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 2 -6 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-433265,110249025] |
[a1,a2,a3,a4,a6] |
j |
-1289417994729/5065300 |
j-invariant |
L |
1.4745710425158 |
L(r)(E,1)/r! |
Ω |
0.36864264999958 |
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 |
106930l1 |
Quadratic twists by: 17 |