Atkin-Lehner |
2- 3+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
76752bf |
Isogeny class |
Conductor |
76752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
718848 |
Modular degree for the optimal curve |
Δ |
668524785042456576 = 238 · 33 · 133 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -1 -2 1 13+ 5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-359883,73196666] |
[a1,a2,a3,a4,a6] |
Generators |
[151:4722:1] |
Generators of the group modulo torsion |
j |
46610525182518387/6044965142528 |
j-invariant |
L |
5.5066785342793 |
L(r)(E,1)/r! |
Ω |
0.27673340353124 |
Real period |
R |
4.9747143503639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999998532 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9594k1 76752x1 |
Quadratic twists by: -4 -3 |