Atkin-Lehner |
2- 3+ 29- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
76212c |
Isogeny class |
Conductor |
76212 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23424 |
Modular degree for the optimal curve |
Δ |
-66761712 = -1 · 24 · 33 · 29 · 732 |
Discriminant |
Eigenvalues |
2- 3+ 0 -5 1 -5 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-105,-571] |
[a1,a2,a3,a4,a6] |
Generators |
[20:73:1] |
Generators of the group modulo torsion |
j |
-296352000/154541 |
j-invariant |
L |
3.2788584844053 |
L(r)(E,1)/r! |
Ω |
0.72785913908338 |
Real period |
R |
1.1261995306711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003306 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76212a1 |
Quadratic twists by: -3 |