Atkin-Lehner |
2- 3- 5+ 23+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
76590bp |
Isogeny class |
Conductor |
76590 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
175104 |
Modular degree for the optimal curve |
Δ |
-43909730795520 = -1 · 219 · 39 · 5 · 23 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 1 0 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,3982,-304783] |
[a1,a2,a3,a4,a6] |
Generators |
[225:3343:1] |
Generators of the group modulo torsion |
j |
9580809274919/60232826880 |
j-invariant |
L |
11.363979118552 |
L(r)(E,1)/r! |
Ω |
0.32015212648312 |
Real period |
R |
0.46704684638666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997094 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25530r1 |
Quadratic twists by: -3 |