Atkin-Lehner |
3- 5+ 7- 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
109725bu |
Isogeny class |
Conductor |
109725 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
3409920 |
Modular degree for the optimal curve |
Δ |
-4.010851438264E+20 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 11+ 0 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-3281283,-2483504281] |
[a1,a2,a3,a4,a6] |
j |
-250054620557414662144/25669449204889875 |
j-invariant |
L |
1.1152503795047 |
L(r)(E,1)/r! |
Ω |
0.055762502422577 |
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 |
21945a1 |
Quadratic twists by: 5 |