Atkin-Lehner |
3- 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
5475j |
Isogeny class |
Conductor |
5475 |
Conductor |
∏ cp |
102 |
Product of Tamagawa factors cp |
deg |
139536 |
Modular degree for the optimal curve |
Δ |
-430117455391875 = -1 · 317 · 54 · 732 |
Discriminant |
Eigenvalues |
2 3- 5- 3 6 7 -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-1372908,-619629181] |
[a1,a2,a3,a4,a6] |
j |
-457897548255411097600/688187928627 |
j-invariant |
L |
7.1131064209045 |
L(r)(E,1)/r! |
Ω |
0.069736337459848 |
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 |
87600bx1 16425o1 5475c1 |
Quadratic twists by: -4 -3 5 |