Atkin-Lehner |
5- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
45325s |
Isogeny class |
Conductor |
45325 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-6905510997875 = -1 · 53 · 79 · 372 |
Discriminant |
Eigenvalues |
0 3 5- 7- -3 5 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1960,-130769] |
[a1,a2,a3,a4,a6] |
j |
-56623104/469567 |
j-invariant |
L |
5.0475017515951 |
L(r)(E,1)/r! |
Ω |
0.31546885948499 |
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 |
45325p1 6475g1 |
Quadratic twists by: 5 -7 |