Atkin-Lehner |
3- 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37485bq |
Isogeny class |
Conductor |
37485 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
36000 |
Modular degree for the optimal curve |
Δ |
-32260528125 = -1 · 36 · 55 · 72 · 172 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 2 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5994,180333] |
[a1,a2,a3,a4,a6] |
Generators |
[52:59:1] |
Generators of the group modulo torsion |
j |
-666793065841/903125 |
j-invariant |
L |
7.6603181755186 |
L(r)(E,1)/r! |
Ω |
1.1668310981327 |
Real period |
R |
0.65650617195384 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4165e1 37485q1 |
Quadratic twists by: -3 -7 |