Atkin-Lehner |
2+ 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050n |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
-712968750 = -1 · 2 · 33 · 57 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -5 13+ 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,183,-909] |
[a1,a2,a3,a4,a6] |
Generators |
[9:33:1] |
Generators of the group modulo torsion |
j |
9477/10 |
j-invariant |
L |
2.693551464217 |
L(r)(E,1)/r! |
Ω |
0.87014677305248 |
Real period |
R |
0.77387848485095 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999959378 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050dr1 15210bb1 76050do1 |
Quadratic twists by: -3 5 13 |