Atkin-Lehner |
3- 5- 17- 43- |
Signs for the Atkin-Lehner involutions |
Class |
54825i |
Isogeny class |
Conductor |
54825 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
220800 |
Modular degree for the optimal curve |
Δ |
-1433206880859375 = -1 · 310 · 59 · 172 · 43 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 4 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,22237,-1297608] |
[a1,a2,a3,a4,a6] |
Generators |
[61:505:1] |
Generators of the group modulo torsion |
j |
622617094819/733801923 |
j-invariant |
L |
5.210169993277 |
L(r)(E,1)/r! |
Ω |
0.25754907101248 |
Real period |
R |
2.0229814740871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000022 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54825c1 |
Quadratic twists by: 5 |