Atkin-Lehner |
3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37485ba |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
16128000 |
Modular degree for the optimal curve |
Δ |
-1.9268906655649E+26 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- -2 5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-2099094438,37022586393294] |
[a1,a2,a3,a4,a6] |
j |
-11926249134908509075308544/2246680441062421875 |
j-invariant |
L |
1.0993760461292 |
L(r)(E,1)/r! |
Ω |
0.054968802307266 |
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 |
12495n1 5355n1 |
Quadratic twists by: -3 -7 |