Atkin-Lehner |
2- 3+ 7+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37128s |
Isogeny class |
Conductor |
37128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
6014736 = 24 · 35 · 7 · 13 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 2 13- 17- 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-124,-479] |
[a1,a2,a3,a4,a6] |
j |
13285149952/375921 |
j-invariant |
L |
2.8643993514411 |
L(r)(E,1)/r! |
Ω |
1.4321996757069 |
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 |
74256bg1 111384u1 |
Quadratic twists by: -4 -3 |