Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
108300ck |
Isogeny class |
Conductor |
108300 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
401760 |
Modular degree for the optimal curve |
Δ |
-63336006000 = -1 · 24 · 35 · 53 · 194 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -4 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-187118,-31217007] |
[a1,a2,a3,a4,a6] |
j |
-2779894628096/243 |
j-invariant |
L |
3.443195649362 |
L(r)(E,1)/r! |
Ω |
0.11477319502982 |
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 |
108300x1 108300bb1 |
Quadratic twists by: 5 -19 |