Atkin-Lehner |
2+ 3- 7- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
37128p |
Isogeny class |
Conductor |
37128 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
12549264 = 24 · 3 · 7 · 133 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 1 7- 0 13- 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-260,1521] |
[a1,a2,a3,a4,a6] |
Generators |
[0:39:1] |
Generators of the group modulo torsion |
j |
121953162496/784329 |
j-invariant |
L |
8.0621926405825 |
L(r)(E,1)/r! |
Ω |
2.2612874424428 |
Real period |
R |
0.59421847404716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
74256i1 111384ck1 |
Quadratic twists by: -4 -3 |