Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050m |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
7300800 = 26 · 33 · 52 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 3 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7032,228736] |
[a1,a2,a3,a4,a6] |
Generators |
[48:-16:1] |
Generators of the group modulo torsion |
j |
337135557915/64 |
j-invariant |
L |
4.4599373090498 |
L(r)(E,1)/r! |
Ω |
1.8573836272893 |
Real period |
R |
0.60029835011779 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002376 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050dq2 76050dy1 76050dn1 |
Quadratic twists by: -3 5 13 |