Atkin-Lehner |
3+ 5+ 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
109275a |
Isogeny class |
Conductor |
109275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4815360 |
Modular degree for the optimal curve |
Δ |
-8.6301990208696E+20 |
Discriminant |
Eigenvalues |
1 3+ 5+ 1 -4 7 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,2201625,646481250] |
[a1,a2,a3,a4,a6] |
Generators |
[-411190:33373270:2197] |
Generators of the group modulo torsion |
j |
75532423970430326159/55233273733565625 |
j-invariant |
L |
7.3918204130057 |
L(r)(E,1)/r! |
Ω |
0.10069551165767 |
Real period |
R |
9.175955644985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000032532 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
21855e1 |
Quadratic twists by: 5 |