Atkin-Lehner |
3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37485bs |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
1377832733865 = 39 · 5 · 77 · 17 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -4 -2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-147744,-21821157] |
[a1,a2,a3,a4,a6] |
Generators |
[-6218723408:3174835259:28094464] |
Generators of the group modulo torsion |
j |
4158523459441/16065 |
j-invariant |
L |
6.1034960871473 |
L(r)(E,1)/r! |
Ω |
0.2435129457521 |
Real period |
R |
12.532179897655 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12495k1 5355g1 |
Quadratic twists by: -3 -7 |