Atkin-Lehner |
2- 3- 53- |
Signs for the Atkin-Lehner involutions |
Class |
7632n |
Isogeny class |
Conductor |
7632 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-34183544832 = -1 · 215 · 39 · 53 |
Discriminant |
Eigenvalues |
2- 3- 0 -5 -3 -4 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8715,313274] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:144:1] [31:270:1] |
Generators of the group modulo torsion |
j |
-24515367625/11448 |
j-invariant |
L |
4.9736686113039 |
L(r)(E,1)/r! |
Ω |
1.1463547817457 |
Real period |
R |
0.27116761159498 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
954k1 30528bl1 2544c1 |
Quadratic twists by: -4 8 -3 |