Atkin-Lehner |
3- 5+ 31- 47- |
Signs for the Atkin-Lehner involutions |
Class |
109275n |
Isogeny class |
Conductor |
109275 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
4078080 |
Modular degree for the optimal curve |
Δ |
-3.2188517276001E+20 |
Discriminant |
Eigenvalues |
1 3- 5+ 1 6 -5 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,599599,844543073] |
[a1,a2,a3,a4,a6] |
j |
1525764222360859391/20600651056640625 |
j-invariant |
L |
5.0836727506859 |
L(r)(E,1)/r! |
Ω |
0.12709181810788 |
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 |
21855a1 |
Quadratic twists by: 5 |