Atkin-Lehner |
3+ 5+ 29- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
76995b |
Isogeny class |
Conductor |
76995 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36608 |
Modular degree for the optimal curve |
Δ |
28873125 = 33 · 54 · 29 · 59 |
Discriminant |
Eigenvalues |
-2 3+ 5+ 3 -4 -6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-213,1168] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:37:1] [4:19:1] |
Generators of the group modulo torsion |
j |
39582093312/1069375 |
j-invariant |
L |
5.2987952497655 |
L(r)(E,1)/r! |
Ω |
2.0915710666083 |
Real period |
R |
0.63335108885373 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999248 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76995c1 |
Quadratic twists by: -3 |