Atkin-Lehner |
3- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37485bg |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1976832 |
Modular degree for the optimal curve |
Δ |
-2.4419055251514E+19 |
Discriminant |
Eigenvalues |
2 3- 5+ 7- -2 1 17- -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-4408383,3570524613] |
[a1,a2,a3,a4,a6] |
j |
-110470393399988224/284716796875 |
j-invariant |
L |
1.7071599061286 |
L(r)(E,1)/r! |
Ω |
0.21339498826986 |
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 |
4165l1 5355l1 |
Quadratic twists by: -3 -7 |