Atkin-Lehner |
3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37485bb |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-562615032994875 = -1 · 38 · 53 · 79 · 17 |
Discriminant |
Eigenvalues |
0 3- 5+ 7- 6 1 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-5460168,-4910855252] |
[a1,a2,a3,a4,a6] |
j |
-209906535145406464/6559875 |
j-invariant |
L |
1.7777494691447 |
L(r)(E,1)/r! |
Ω |
0.049381929697136 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12495d2 5355o2 |
Quadratic twists by: -3 -7 |